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BEGIN:VEVENT
SUMMARY:Alberto Elduque (University of Zaragoza\, Spain)
DTSTART;VALUE=DATE-TIME:20230109T150000Z
DTEND;VALUE=DATE-TIME:20230109T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/1
DESCRIPTION:Title: Tensor categories\, algebras\, and superalgebras\nby Alberto Eldu
que (University of Zaragoza\, Spain) as part of European Non-Associative A
lgebra Seminar\n\n\nAbstract\nAfter reviewing the basic definitions of ten
sor categories and the notion of semisimplification of symmetric tensor ca
tegories\, it will be shown how the semisimplification of the category of
representations of the cyclic group of order 3 over a field of characteris
tic 3 is naturally equivalent to the category of vector superspaces over t
his field. This allows to define a superalgebra starting with any algebra
endowed with an order 3 automorphism. As a noteworthy example\, the except
ional composition superalgebras will be obtained\, in a systematic way\, f
rom the split octonion algebra.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seidon Alsaody (Uppsala University\, Sweden)
DTSTART;VALUE=DATE-TIME:20230116T150000Z
DTEND;VALUE=DATE-TIME:20230116T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/2
DESCRIPTION:Title: Brown algebras\, Freudenthal triple systems and exceptional groups ov
er rings\nby Seidon Alsaody (Uppsala University\, Sweden) as part of E
uropean Non-Associative Algebra Seminar\n\n\nAbstract\nExceptional algebra
ic groups are intimately related to various classes of non-associative alg
ebras: for example\, octonion algebras are related to groups of type $G_2$
and $D_4$\, and Albert algebras to groups of type $F_4$ and $E_6$. This c
an be used\, on the one hand\, to give concrete descriptions of homogeneou
s spaces under these groups and\, on the other hand\, to parametrize isoto
pes of these algebras using said homogeneous spaces. The key tools are pro
vided by the machinery of torsors and faithfully flat descent\, working ov
er arbitrary commutative rings (sometimes assuming 2 and 3 to be invertibl
e).\n\nI will talk about recent work where we do this from Brown algebras
and their associated Freudenthal triple systems\, whose automorphism group
s are of type $E_6$ and $E_7$\, respectively. I will hopefully be able to
show how algebraic and geometric properties come together in this picture.
\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karel Dekimpe (Catholic University of Leuven\, Belgium)
DTSTART;VALUE=DATE-TIME:20230123T150000Z
DTEND;VALUE=DATE-TIME:20230123T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/3
DESCRIPTION:Title: Di-semisimple Lie algebras and applications in post-Lie algebra struc
tures\nby Karel Dekimpe (Catholic University of Leuven\, Belgium) as p
art of European Non-Associative Algebra Seminar\n\n\nAbstract\nWe call a L
ie algebra $\\mathfrak g$ di-semisimple if it can be written as a vector s
pace sum $\\mathfrak g = \\mathfrak s_1 + \\mathfrak s_2$\, where $\\mathf
rak s_1$ and $\\mathfrak s_2$ are semisimple subalgebras of $\\mathfrak g$
and we say that $\\mathfrak g$ is strongly di-semisimple if $\\mathfrak
g$ can be written as a direct vector space sum of semisimple subalgebras.
We will show that complex strongly di-semisimple Lie algebras have to be s
emisimple themselves. \n\nWe will then use this result to show that if a p
air of complex Lie algebras $(\\mathfrak g\, \\mathfrak n)$ with $\\mathfr
ak g$ semisimple admits a so called post-Lie algebra structure\, then \n$\
\mathfrak n$ must be isomorphic to $\\mathfrak g$. \n\nJoint work with Die
trich Burde and Mina Monadjem.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Towers (Lancaster University\, UK)
DTSTART;VALUE=DATE-TIME:20230130T150000Z
DTEND;VALUE=DATE-TIME:20230130T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/4
DESCRIPTION:Title: Zinbiel algebras are nilpotent\nby David Towers (Lancaster Univer
sity\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAbstra
ct\nZinbiel algebras were introduced by Loday in 1995. They are the Koszul
dual of Leibniz algebras and Lemaire proposed the name of Zinbiel\, which
is obtained by writing Leibniz backwards. In this talk\, I will introduce
some of their main properties\, including the fact that\, over any field\
, they are nilpotent.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clara Franchi (Catholic University of the Sacred Heart\, Italy)
DTSTART;VALUE=DATE-TIME:20230206T150000Z
DTEND;VALUE=DATE-TIME:20230206T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/5
DESCRIPTION:Title: Axial algebras of Monster type\nby Clara Franchi (Catholic Univer
sity of the Sacred Heart\, Italy) as part of European Non-Associative Alge
bra Seminar\n\n\nAbstract\nExtending earlier work by Ivanov on Majorana al
gebras\, axial algebras of Monster type were introduced in 2015 by Hall\,
Rehren and Shpectorov in order to axiomatise some key features of certain
classes of algebras related to large families of finite simple groups\, su
ch as the weight-2 components of OZ-type vertex operator algebras\, Jordan
algebras\, and Matsuo algebras. In this talk\, I'll review the definition
of axial algebras and the major examples. Then I'll discuss the general c
lassification problem of the 2-generated objects and\, time permitting\, s
how its applications in some special cases related to the Monster.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Justin McInroy (University of Chester\, UK)
DTSTART;VALUE=DATE-TIME:20230213T150000Z
DTEND;VALUE=DATE-TIME:20230213T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/6
DESCRIPTION:Title: Classifying quotients of the Highwater algebra\nby Justin McInroy
(University of Chester\, UK) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nAxial algebras are a class of non-associative algeb
ras with a strong natural link to groups and have recently received much a
ttention. They are generated by axes which are semisimple idempotents who
se eigenvectors multiply according to a so-called fusion law. Of primary
interest are the axial algebras with the Monster type $(\\alpha\, \\beta)$
fusion law\, of which the Griess algebra (with the Monster as its automor
phism group) is an important motivating example.\n\nBy previous work of Ya
be\, and Franchi and Mainardis\, any symmetric 2-generated axial algebra o
f Monster type $(\\alpha\, \\beta)$ is either in one of several explicitly
known families\, or is a quotient of the infinite-dimensional Highwater a
lgebra $\\mathcal{H}$\, or its characteristic 5 cover $\\hat{\\mathcal{H}}
$. We complete this classification by explicitly describing the infinitel
y many ideals and thus quotients of the Highwater algebra (and its cover).
As a consequence\, we find that there exist 2-generated algebras of Mons
ter type $(\\alpha\, \\beta)$ with any number of axes (rather than just $1
\, 2\, 3\, 4\, 5\, 6\, \\infty$ as we knew before) and of arbitrarily larg
e finite dimension.\n\n\nIn this talk\, we will begin with a reminder of a
xial algebras which were introduced last week.\n\n\nThis is joint work wit
h:\nClara Franchi\, Catholic University of the Sacred Heart\, Milan\nMario
Mainardis\, University of Udine\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenji Iohara (University of Lyon\, France)
DTSTART;VALUE=DATE-TIME:20230220T150000Z
DTEND;VALUE=DATE-TIME:20230220T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/7
DESCRIPTION:Title: On Elliptic Root Systems\nby Kenji Iohara (University of Lyon\, F
rance) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\n
In 1985\, K. Saito introduced elliptic root systems as root systems belong
ing to a real vector space $F$ equiped with a symmetric bilinear form $I$
with signature $(l\, 2\, 0)$. Such root systems are studied in view of sim
ply elliptic singularities which are surface singularities with a regular
elliptic curve in its resolution. K. Saito had classified elliptic root sy
stems $R$ with its one dimensional subspace $G$ of the radical of $I$\, in
the case when $R/G \\subset F/G$ is a reduced affine root system. In our
joint work with A. Fialowski and Y. Saito\, we have completed its classifi
cation\; we classified the pair $(R\,G)$ whose quotient $R/G \\subset F/G$
is a non-reduced affine root system. In this talk\, we give an overview o
f elliptic root sysems and describe some of the new root systems we have f
ound.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dietrich Burde (University of Vienna\, Austria)
DTSTART;VALUE=DATE-TIME:20230227T150000Z
DTEND;VALUE=DATE-TIME:20230227T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/8
DESCRIPTION:Title: Pre-Lie algebra structures on reductive Lie algebras and etale affine
representations\nby Dietrich Burde (University of Vienna\, Austria) a
s part of European Non-Associative Algebra Seminar\n\n\nAbstract\nEtale af
fine representations of Lie algebras and algebraic groups arise in the con
text\nof affine geometry on Lie groups\, operad theory\, deformation theor
y and Young-Baxter equations.\nFor reductive groups\, every etale affine r
epresentation is equivalent to a\nlinear representation and we obtain a sp
ecial case of a prehomogeneous representation.\nSuch representations have
been classified by Sato and Kimura in some cases. The induced\nrepresentat
ion on the Lie algebra level gives rise to a pre-Lie algebra structure on
the\nLie algebra g of G. For a Lie group G\, a pre-Lie algebra structure o
n g corresponds to a\nleft-invariant affine structure on G. This refers to
a well-known question by John Milnor from 1977\non the existence of compl
ete left-invariant affine structures on solvable Lie groups.\n\nWe present
results on the existence of etale affine representations of reductive gro
ups and Lie algebras\nand discuss a related conjecture of V. Popov concern
ing flattenable groups and linearizable\nsubgroups of the affine Cremona g
roup.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Willem Adriaan De Graaf (University of Trento\, Italy)
DTSTART;VALUE=DATE-TIME:20230306T150000Z
DTEND;VALUE=DATE-TIME:20230306T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/9
DESCRIPTION:Title: Computing the first Galois cohomology set of a reductive algebraic gr
oup\nby Willem Adriaan De Graaf (University of Trento\, Italy) as part
of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn classificat
ion problems over the real field R first Galois cohomology sets play an im
portant role\, as they often make it possible to classify the orbits of a
real Lie group. In this talk\, we outline an algorithm to compute the firs
t Galois cohomology set $H^1(G\,R)$ of a complex reductive algebraic group
G defined over the real field R. The algorithm is in a large part based o
n computations in the Lie algebra of G. This is joint work with Mikhail Bo
rovoi.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adela Latorre (Polytechnic University of Madrid\, Spain)
DTSTART;VALUE=DATE-TIME:20230313T150000Z
DTEND;VALUE=DATE-TIME:20230313T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/10
DESCRIPTION:Title: Solvable Lie algebras with complex symplectic structures\nby Ade
la Latorre (Polytechnic University of Madrid\, Spain) as part of European
Non-Associative Algebra Seminar\n\n\nAbstract\nLet $\\mathfrak g$ be a $2n
$-dimensional solvable Lie algebra. A complex structure on $\\mathfrak g$
is an endomorphism $J$ that satisfies $J^2=-Id$ and $N_J(X\,Y)=0$\, for ev
ery $X\,Y\\in\\mathfrak g$\, being\n$$N_J(X\,Y):=[X\,Y]+J[JX\,Y]+J[X\,JY]-
[JX\,JY].$$ \nSuppose that $\\mathfrak g$ simultaneously admits a complex
structure $J$ and a symplectic structure $\\omega$ (i.e.\, a closed $2$-fo
rm $\\omega\\in\\wedge^2\\mathfrak g^*$ such that $\\omega^n\\neq 0$). \nA
lthough $J$ and $\\omega$ are initially two unrelated structures\, one can
ask for an additional condition involving both of them.\nIn this sense\,
the pair $(J\,\\omega)$ is said to be a complex symplectic structure if $J
$ is symmetric with respect to $\\omega$\, in the sense that $\\omega(JX\,
Y)=\\omega(X\,JY)$\, for every $X\,Y\\in\\mathfrak g$.\nIn this talk\, we
will present some methods to find certain types of solvable Lie algebras (
such as nilpotent or almost Abelian) admitting complex symplectic structur
es.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Duc-Khanh Nguyen (University at Albany\, USA)
DTSTART;VALUE=DATE-TIME:20230320T150000Z
DTEND;VALUE=DATE-TIME:20230320T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/11
DESCRIPTION:Title: A generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-
Schur functions\nby Duc-Khanh Nguyen (University at Albany\, USA) as p
art of European Non-Associative Algebra Seminar\n\n\nAbstract\nWe introduc
e a generalization of K-k-Schur functions and k-Schur functions via the Pi
eri rule. Then we obtain the Murnaghan-Nakayama rule for the generalized f
unctions. The rule are described explicitly in the cases of K-k-Schur func
tions and k-Schur functions\, with concrete descriptions and algorithms fo
r coefficients. Our work recovers the result of Bandlow\, Schilling\, and
Zabrocki for k-Schur functions\, and explains it as a degeneration of the
rule for K-k-Schur functions. In particular\, many other special cases pro
mise to be detailed in the future.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Usefi (Memorial University of Newfoundland\, Canada)
DTSTART;VALUE=DATE-TIME:20230327T150000Z
DTEND;VALUE=DATE-TIME:20230327T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/12
DESCRIPTION:Title: Polynomial identities\, group rings and enveloping algebras\nby
Hamid Usefi (Memorial University of Newfoundland\, Canada) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nI will talk about the
development of the theory of polynomial identities initiated by important
questions such as Burnside's asking if every finitely generated torsion
group is finite. The field was enriched by contributions of many great ma
thematicians. Most notably Lie rings methods were developed and used by Ze
lmanov in the 1990s to give a positive solution to the restricted Burnsid
e problem which awarded him the Fields medal. It has been of great interes
t to expand the theory to other varieties of algebraic structures. In part
icular\, I will review when a group algebra or enveloping algebra satisfy
a polynomial identity.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxime Fairon (University of Paris-Saclay\, France)
DTSTART;VALUE=DATE-TIME:20230410T150000Z
DTEND;VALUE=DATE-TIME:20230410T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/13
DESCRIPTION:Title: Around Van den Bergh's double brackets\nby Maxime Fairon (Univer
sity of Paris-Saclay\, France) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nThe notion of a double Poisson bracket on an assoc
iative algebra was introduced by M. Van den Bergh in order to induce a (us
ual) Poisson bracket on the representation spaces of this algebra. I will
start by reviewing the basics of this theory and its relation to other int
eresting operations\, such as Leibniz brackets and $H_0$-Poisson structure
s. I will then explain some recent results and generalisations related to
double Poisson brackets.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kaiming Zhao (Wilfrid Laurier University\, Waterloo\, Canada)
DTSTART;VALUE=DATE-TIME:20230529T150000Z
DTEND;VALUE=DATE-TIME:20230529T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/14
DESCRIPTION:Title: Simple smooth modules\nby Kaiming Zhao (Wilfrid Laurier Universi
ty\, Waterloo\, Canada) as part of European Non-Associative Algebra Semina
r\n\n\nAbstract\nLet L be a graded Lie algebra by integers with k-th homog
enous space $L_k$ where k are integers. An L-module V is called a smooth m
odule if any vector in V can be annihilated by $L_k$ for all sufficiently
large k. Smooth modules for affine Kac-Moody algebras were introduced and
studied by Kazhdan and Lusztig in 1993. I will show why this class of modu
les should be studied and what results are known now. An easy characteriza
tion for simple smooth modules for some Lie algebras will be provided.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marzia Mazzotta (University of Salento\, Italy)
DTSTART;VALUE=DATE-TIME:20230417T150000Z
DTEND;VALUE=DATE-TIME:20230417T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/15
DESCRIPTION:Title: Classification of set-theoretical solutions to the pentagon equation
\nby Marzia Mazzotta (University of Salento\, Italy) as part of Europe
an Non-Associative Algebra Seminar\n\n\nAbstract\nThe pentagon equation cl
assically originates from the field of Mathematical Physics. Our attention
is placed on the study of set-theoretical solutions of this equation\, na
mely\, maps $s: X \\times X \\to X \\times X$ given by $s(x\, y)=(xy\, \\t
heta_x(y))$\, where $X$ is a semigroup and $\\theta_x:X \\to X$ is a map s
atisfying two laws. In this talk\, we give some recent descriptions of so
me classes of solutions achieved starting from particular semigroups. Into
the specific\, we provide a characterization of \\emph{idempotent-invaria
nt} solutions on a Clifford semigroup $X$\, that are those for which $\\th
eta_a$ remains invariant on the set of idempotents $E(X)$. In addition\, w
e will focus on the classes of \\emph{involutive} and \\emph{idempotent} s
olutions\, which are solutions fulfilling $s^2=id_{X \\times X}$ and $s^2=
s$\, respectively.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Přemysl Jedlička (Czech University of Life Sciences\, Czechia)
DTSTART;VALUE=DATE-TIME:20230403T150000Z
DTEND;VALUE=DATE-TIME:20230403T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/16
DESCRIPTION:Title: Non-degenerate involutive set-theoretic solutions of the Yang-Baxter
equation of multipermutation level 2\nby Přemysl Jedlička (Czech Un
iversity of Life Sciences\, Czechia) as part of European Non-Associative A
lgebra Seminar\n\n\nAbstract\nSet-theoretic solution of the Yang-Baxter eq
uation is a mapping $r:X\\times X\\to X\\times X$ satisfying\n\\[ (r\\time
s 1) (1\\times r) (r\\times 1) = (1\\times r) (r\\times 1) (1\\times r). \
\]\nA solution $r: (x\,y)\\mapsto (\\sigma_x(y)\,\\tau_y(x))$ is called no
n-degenerate if the mappings $\\sigma_x$ and $\\tau_y$ are permutations\,
for all $x\,y\\in X$. A solution is called involutive if $r^2=1$.\n\nIf $(
X\,r)$ is a non-degenerate involutive solution $(X\,r)$ then the relation~
$\\sim$ defined by $x\\sim y\\equiv \\sigma_x=\\sigma_y$ is a congruence.
A solution is of multipermutation level 2 if $|(X/\\sim)/\\sim|=1$.\n\nIn
our talk we focus on these solutions and we present several constructions
and properties.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Malihe Yousofzadeh (University of Isfahan\, Iran)
DTSTART;VALUE=DATE-TIME:20230522T150000Z
DTEND;VALUE=DATE-TIME:20230522T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/17
DESCRIPTION:Title: Finite Weight Modules over Affine Lie Superalgebras\nby Malihe Y
ousofzadeh (University of Isfahan\, Iran) as part of European Non-Associat
ive Algebra Seminar\n\n\nAbstract\nNonzero real vectors of an affine Lie s
uperalgebra act on a simple module either locally nilpotently or injective
ly. This helps us to divide simple finite weight modules over a twisted af
fine Lie superalgebra $\\mathfrak{L}$ into two subclasses called hybrid an
d tight. We will talk about the characterization as well as the classifica
tion problem of modules in each subclass. In this regard\, the classificat
ion of bases of the root system of $\\mathfrak{L}$ is crucial. We will dis
cuss how we can classify the bases and how we can use the obtained classif
ication to study simple finite weight modules over $\\mathfrak{L}.$\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yunhe Sheng (Jilin University\, China)
DTSTART;VALUE=DATE-TIME:20230508T090000Z
DTEND;VALUE=DATE-TIME:20230508T100000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/18
DESCRIPTION:Title: Rota-Baxter operators and post-groups\nby Yunhe Sheng (Jilin Uni
versity\, China) as part of European Non-Associative Algebra Seminar\n\n\n
Abstract\nRota-Baxter operators on Lie algebras were first studied by Bela
vin\, Drinfeld and Semenov-Tian-Shansky as operator forms of the classical
Yang-Baxter equation. Integrating the Rota-Baxter operators on Lie algebr
as\, we introduce the notion of Rota-Baxter operators on Lie groups and mo
re generally on groups. Then the factorization theorem can be achieved dir
ectly on groups. We introduce the notion of post-Lie groups\, whose differ
entiations are post-Lie algebras. A Rota-Baxter operator on a group natura
lly induces a post-group. Post-groups are also closely related to operads\
, braces\, Lie-Butcher groups and various structures.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mátyás Domokos (Alfréd Rényi Institute of Mathematics\, Hungar
y)
DTSTART;VALUE=DATE-TIME:20230508T150000Z
DTEND;VALUE=DATE-TIME:20230508T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/19
DESCRIPTION:Title: An application of classical invariant theory to the study of identit
ies and concomitants of irreducible representations of the simple 3-dimens
ional complex Lie algebra\nby Mátyás Domokos (Alfréd Rényi Institu
te of Mathematics\, Hungary) as part of European Non-Associative Algebra S
eminar\n\n\nAbstract\nTo an $n$-dimensional representation of a finite dim
ensional Lie algebra one can naturally associate an algebra of equivariant
polynomial maps from the space of $m$-tuples of elements of the Lie algeb
ra into the space of $n$-by-$n$ matrices. In the talk we mainly deal with
the special case of irreducible\nrepresentations of the simple $3$-dimensi
onal complex Lie algebra\, and discuss results on the generators of the co
rresponding associative algebra of concomitants as well as results on the
quantitative behaviour of the identities of these representations.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rutwig Campoamor Stursberg (Complutense University of Madrid\, Spa
in)
DTSTART;VALUE=DATE-TIME:20230605T150000Z
DTEND;VALUE=DATE-TIME:20230605T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/20
DESCRIPTION:Title: Commutants of subalgebras in universal enveloping algebras\nby R
utwig Campoamor Stursberg (Complutense University of Madrid\, Spain) as pa
rt of European Non-Associative Algebra Seminar\n\n\nAbstract\nThe problem
of determining centralizers in the enveloping algebras of Lie algebras is
considered from both the algebraic and analytical perspectives. Applicatio
ns of the procedure\, such as the decomposition problem of the enveloping
algebra of a simple Lie algebra\, the labelling problem and the constructi
on of orthonormal bases of states are considered.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lewis Topley (University of Bath\, UK)
DTSTART;VALUE=DATE-TIME:20230515T090000Z
DTEND;VALUE=DATE-TIME:20230515T100000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/21
DESCRIPTION:Title: Modular representation theory and finite W-algebras\nby Lewis To
pley (University of Bath\, UK) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nFinite W-algebras were introduced by Premet in ful
l generality\, and they quickly became quite famous for their many applica
tions in the representation theory of complex semisimple Lie algebras\, es
pecially the classification of primitive ideals. However\, these algebras
first appeared in the representation theory of Lie algebras associated to
reductive groups in positive characteristic. In this talk I will survey th
e history of finite W-algebras in modular representation theory\, and expl
ain some of the contributions I have made to the field. The main applicati
ons in this talk will be the construction and classification of``small'
' modules of Lie algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thiago Castilho de Mello (Federal University of São Paulo\, Brazi
l)
DTSTART;VALUE=DATE-TIME:20230424T150000Z
DTEND;VALUE=DATE-TIME:20230424T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/22
DESCRIPTION:Title: Images of polynomials on algebras\nby Thiago Castilho de Mello (
Federal University of São Paulo\, Brazil) as part of European Non-Associa
tive Algebra Seminar\n\n\nAbstract\nThe so-called Lvov-Kaplansky Conjectur
e states that the image of a multilinear polynomial evaluated on the matri
x algebra or order n is always a vector subspace. A solution to this probl
em is known only for $n=2$. In this talk we will present analogous conject
ures for other associative and non-associative algebras and for graded alg
ebras. Also\, we will show how we can use gradings to present a statement
equivalent to the Lvov-Kaplansky conjecture.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandro Mattarei (University of Lincoln\, UK)
DTSTART;VALUE=DATE-TIME:20230612T150000Z
DTEND;VALUE=DATE-TIME:20230612T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/23
DESCRIPTION:Title: Graded Lie algebras of maximal class\nby Sandro Mattarei (Univer
sity of Lincoln\, UK) as part of European Non-Associative Algebra Seminar\
n\n\nAbstract\nThe title matches that of a series of papers by various aut
hors beginning in 1997\, whose goal was the study and classification of su
ch algebras over fields of positive characteristic. The original motivatio
n came from group theory: the Leedham-Green and Newman coclass conjectures
on pro-p groups from 1980 had all become theorems relatively recently\, a
nd subsequent results of Shalev and Zelmanov had raised interest in what o
ne could say about Lie algebras of finite coclass. In positive characteris
tic\, the simplest case of coclass one (i.e.\, 'Lie algebras of maximal cl
ass'\, also called 'filiform' in some quarters) appeared challenging even
under the strong assumptions of those Lie algebras being infinite-dimensio
nal and graded over the positive integers. I will review motivations and r
esults of those studies\, including some classifications obtained by Caran
ti\, Newman\, Vaughan-Lee. Then I will describe some generalizations recen
tly established with three of my former PhD students.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Esther García González (King Juan Carlos University\, Spain)
DTSTART;VALUE=DATE-TIME:20230626T150000Z
DTEND;VALUE=DATE-TIME:20230626T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/24
DESCRIPTION:Title: Nilpotent last-regular elements\nby Esther García González (Ki
ng Juan Carlos University\, Spain) as part of European Non-Associative Alg
ebra Seminar\n\n\nAbstract\nWe say that an element $x$ in a ring $R$ is ni
lpotent last-regular if it is nilpotent of certain index $n+1$ and its las
t nonzero power $x^n$ is regular von Neumann\, i.e.\, there exists another
element $y\\in R$ such that $x^nyx^n=x^n$. This type of elements naturall
y arise when studying certain inner derivations in the Lie algebra $\\Skew
(R\,*)$ of a ring $R$ with involution $*$ whose indices of nilpotence diff
er when considering them acting as derivations on $\\Skew(R\,*)$ and on th
e whole $R$. When moving to the symmetric Martindale ring of quotients $Q^
s_m(R)$ of $R$ we still obtain inner derivations with the same indices of
nilpotence on $Q^s_m(R)$ and on the skew-symmetric elements $\\Skew(Q^s_m(
R)\,*)$ of $Q^s_m(R)$\, but with the extra condition of being generated by
a nilpotent last-regular element. This condition strongly determines the
structure of $Q^s_m(R)$ and of $\\Skew(Q^s_m(R)\,*)$. \nWe will review the
Jordan canonical form of nilpotent last-regular elements and show how to
get gradings in associative algebras (with and without involution) when th
ey have such elements.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sigiswald Barbier (Ghent University\, Belgium)
DTSTART;VALUE=DATE-TIME:20230703T150000Z
DTEND;VALUE=DATE-TIME:20230703T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/25
DESCRIPTION:Title: Diagram categories of Brauer type\nby Sigiswald Barbier (Ghent U
niversity\, Belgium) as part of European Non-Associative Algebra Seminar\n
\n\nAbstract\nDiagram categories are a special kind of tensor categories t
hat can be represented using diagrams. In this talk I will give an introdu
ction to categories represented using Brauer diagrams. In particular I wil
l explain the relation with the Brauer algebra and how the categorical fra
mework can be applied to representation theory of the corresponding algebr
a.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Arzhantsev (HSE University\, Russia)
DTSTART;VALUE=DATE-TIME:20230515T150000Z
DTEND;VALUE=DATE-TIME:20230515T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/26
DESCRIPTION:Title: Uniqueness of addition in Lie algebras\nby Ivan Arzhantsev (HSE
University\, Russia) as part of European Non-Associative Algebra Seminar\n
\n\nAbstract\nWe say that a Lie ring R is called a unique addition Lie rin
g\, or briefly a UA-Lie ring\, if any commutator-preserving bijection on R
preserves the addition as well. We prove that any semisimple Lie algebra
and any its parabolic subalgebra is a UA-Lie ring. Also we describe wide c
lasses of solvable UA-Lie rings.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Dotsenko (University of Strasbourg\, France)
DTSTART;VALUE=DATE-TIME:20230424T090000Z
DTEND;VALUE=DATE-TIME:20230424T100000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/27
DESCRIPTION:Title: Operad filtrations and quantization\nby Vladimir Dotsenko (Unive
rsity of Strasbourg\, France) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nThe celebrated problem of deformation quantization
discusses deformations of Poisson algebras into associative algebras\, a q
uestion that is\, in the end\, motivated by quantum mechanics. I shall dis
cuss this question and some of its generalisations from the purely algebra
ic point of view using the theory of operads. In particular\, I shall show
how to prove that there are\, in a strict mathematical sense\, only two m
eaningful deformation problems for Poisson algebras\, namely deforming the
m in the class of all Poisson algebras or all associative algebras\, and t
here is only one meaningful deformation problem for the so called almost P
oisson algebras (also sometimes known as generic Poisson algebras)\, namel
y deforming them in the class of all almost Poisson algebras. For instance
\, this explains the existing body of work in the mathematical physics lit
erature asserting that some classes of non-associative star products canno
t be alternative\, are always flexible etc.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Csaba Schneider (Federal University of Minas Gerais\, Brazil)
DTSTART;VALUE=DATE-TIME:20230821T150000Z
DTEND;VALUE=DATE-TIME:20230821T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/28
DESCRIPTION:Title: Computing invariants of some nilpotent Lie algebras\nby Csaba Sc
hneider (Federal University of Minas Gerais\, Brazil) as part of European
Non-Associative Algebra Seminar\n\n\nAbstract\nI will present some interes
ting computations concerning polynomial and rational invariants of nilpote
nt Lie algebras. I will say more about standard filiform Lie algebras whic
h appear to have the highest level of complication among the small-dimensi
onal algebras. I will outline an implementable algorithm for the computati
on of generators of the field of rational invariants.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Facchini (University of Padua\, Italy)
DTSTART;VALUE=DATE-TIME:20230814T150000Z
DTEND;VALUE=DATE-TIME:20230814T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/29
DESCRIPTION:Title: Heaps and trusses\nby Alberto Facchini (University of Padua\, It
aly) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nI
will present the first notions concerning heaps and trusses. Heaps were in
troduced for the first time by H. Prüfer (1924) and R. Baer (1929). A he
ap is a pair $(H\, [−\,−\,−])$ consisting of a set $H$ and a ternary
operation $$[−\,−\,−] : H \\times H \\times H \\to H\, (x\, y\, z)
\\to [x\, y\, z]\,$$ such that\, for all $v\, w\, x\, y\, z \\in H\,$
\n$$[v\, w\, [x\, y\, z]] = [[v\, w\, x\, ]\, y\, z]\, \\ [x\, x\, y] = y\
,\\ [y\, x\, x]= y.$$\n Truss is a much more recent algebraic structure (T
. Brzeziński\, 2019). A truss is a heap with a further associative binar
y operation\, denoted by juxtaposition\, which distributes over $[−\,−
\,−]\,$ that is\, for all $w\, x\, y\, z \\in T\,$ \n$$w[x\, y\, z] = [w
x\, wy\, wz]\, \\ [x\, y\, z]w = [xw\, yw\, zw]\,\\ [x\, y\, z] =[z\, y\,
x].$$\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elitza Hristova (Institute of Mathematics and Informatics\, Bulgar
ia)
DTSTART;VALUE=DATE-TIME:20230828T150000Z
DTEND;VALUE=DATE-TIME:20230828T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/30
DESCRIPTION:Title: On the GL(n)-module structure of Lie nilpotent associative relativel
y free algebras\nby Elitza Hristova (Institute of Mathematics and Info
rmatics\, Bulgaria) as part of European Non-Associative Algebra Seminar\n\
n\nAbstract\nLet $K\\langle X\\rangle$ denote the free associative algebra
generated by a finite set $X$ with n elements over a field $K$ of charact
eristic 0. Let $I_p$ denote the two-sided associative ideal in $K\\langle
X\\rangle$ generated by all commutators of length $p$\, where $p$ is an ar
bitrary positive integer greater than 1. The group ${\\rm GL(n)}$ acts in
a natural way on the quotient $K\\langle X\\rangle/I_p$ and the ${\\rm GL(
n)}$-module structure of $K\\langle X\\rangle/I_p$ is known for $p=2\,3\,4
\,5$. In this talk\, we give some results on the ${\\rm GL}(n)$-module str
ucture of $K\\langle X\\rangle/I_p$ for any $p$. More precisely\, we give
a bound on the values of the highest weights of irreducible ${\\rm GL}(n)$
-modules which appear in the decomposition of $K\\langle X\\rangle/I_p$. W
e discuss also applications of these results related to the algebras of G-
invariants in $K\\langle X\\rangle/I_p$\, where G is one of the classical
${\\rm GL}(n)$-subgroups ${\\rm SL}(n)$\, ${\\rm O}(n)$\, ${\\rm SO}(n)$\,
or ${\\rm Sp}(2k)$ (for $n=2k$).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tiago Macedo (Federal University of São Paulo\, Brazil)
DTSTART;VALUE=DATE-TIME:20230710T150000Z
DTEND;VALUE=DATE-TIME:20230710T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/31
DESCRIPTION:Title: Finite-dimensional modules for map superalgebras\nby Tiago Maced
o (Federal University of São Paulo\, Brazil) as part of European Non-Asso
ciative Algebra Seminar\n\n\nAbstract\nIn this talk we will present recent
results on the category of finite-dimensional modules for map superalgebr
as. Firstly\, we will show a new description of certain irreducible module
s. Secondly\, we will use this new description to extract homological prop
erties of the category of finite-dimensional modules for map superalgebras
\, most importantly\, its block decomposition.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (University of Buenos Aires\, Argentina)
DTSTART;VALUE=DATE-TIME:20230724T150000Z
DTEND;VALUE=DATE-TIME:20230724T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/32
DESCRIPTION:Title: Tamarkin-Tsygan calculus for gentle algebras\nby Andrea Solotar
(University of Buenos Aires\, Argentina) as part of European Non-Associati
ve Algebra Seminar\n\n\nAbstract\nThe whole structure given by the Hochsch
ild cohomology and homology of an associative algebra A together with the
cup and cap products\, the Gerstenhaber bracket and the Connes differentia
l is called the Tamarkin-Tsygan calculus. It is invariant under derived eq
uivalence and if we can compute all these invariants provides a lot of inf
ormation. The calculation of the whole Tamarkin-Tsygan calculus is very di
fficult and generally not even possible for particular algebras. However\,
there exist some calculations for individual algebras. The problem is\, i
n general\, that the minimal projective bimodule resolutions are difficult
to find and even if one is able to compute such a resolution\, it might b
e so complicated that the computation of the Tamarkin-Tsygan calculus is n
ot within reach. For monomial algebras the minimal projective bimodule res
olution is known and in the case of quadratic monomial algebras it is simp
le enough\, to embark on the extensive calculations of the Tamarkin Tsygan
calculus. Yet even for quadratic monomial algebras\, the combinatorial le
vel of the calculations is such\nthat it is too complicated to calculate t
he whole calculus. On the other hand for gentle algebras\, the additional
constraints on their structure are such that the calculations become possi
ble. We will focus on the concrete aspects of these calculations.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Petukhov (Institute for Information Transmission Problems\,
Russia)
DTSTART;VALUE=DATE-TIME:20230717T150000Z
DTEND;VALUE=DATE-TIME:20230717T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/33
DESCRIPTION:Title: Witt Lie algebra and the associated primitive ideals\nby Alexey
Petukhov (Institute for Information Transmission Problems\, Russia) as par
t of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn my talk I
would like to discuss my joint articles with S. Sierra about the primitive
ideals of universal enveloping U(W) and the symmetric algebra S(W) of Wit
t Lie algebra W and similar Lie algebras (including Virasoro Lie algebra).
The key theorem in this setting is that every nontrivial quotient by a tw
o-sided ideal of U(W) or S(W) has finite Gelfand-Kirillov dimension. Toget
her with S. Sierra we enhanced this statement to the description of primit
ive Poisson ideals of S(W) in terms of certain points on the complex plane
plus a few parameters attached to these points. In the end I will try to
explain how all these concepts works for the ideals whose quotient has Gel
fand-Kirillov dimension 2.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Şehmus Fındık (Çukurova University\, Turkey)
DTSTART;VALUE=DATE-TIME:20230731T150000Z
DTEND;VALUE=DATE-TIME:20230731T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/34
DESCRIPTION:Title: Symmetric polynomials in some certain noncommutative algebras\nb
y Şehmus Fındık (Çukurova University\, Turkey) as part of European Non
-Associative Algebra Seminar\n\n\nAbstract\nLet F be a finitely generated
free algebra in a variety of algebras over a field of characteristic zero.
A polynomial in F is called symmetric if it is preserved under any permut
ation of the generators. The set S(F) of symmetric polynomials is a subalg
ebra of F. In this talk\, we examine the algebras S(F)\, where F is the fr
ee metabelian associative\, Lie\, Leibniz\, Poisson algebra or the free al
gebra generated by generic traceless matrices or the free algebra in the v
ariety generated by Grassmann algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lleonard Rubio y Degrassi (Uppsala University\, Sweden)
DTSTART;VALUE=DATE-TIME:20230807T150000Z
DTEND;VALUE=DATE-TIME:20230807T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/35
DESCRIPTION:Title: Hochschild cohomology groups under gluing idempotents\nby Lleona
rd Rubio y Degrassi (Uppsala University\, Sweden) as part of European Non-
Associative Algebra Seminar\n\n\nAbstract\nStable equivalences occur frequ
ently in the representation theory of finite-dimensional algebras\; howeve
r\, these equivalences are poorly understood. An interesting class of stab
le equivalences is obtained by ‘gluing’ two idempotents. More precisel
y\, let A be a finite-dimensional algebra with a simple projective module
and a simple injective module. Assume that B is a subalgebra of A having t
he same Jacobson radical. Then B is constructed by identifying the two ide
mpotents belonging to the simple projective module and to the simple injec
tive module\, respectively. \n\nIn this talk\, we will compare the first H
ochschild cohomology groups of finite-dimensional monomial algebras under
gluing two arbitrary idempotents (hence not necessarily inducing a stable
equivalence). As a corollary\, we will show that stable equivalences obtai
ned by gluing two idempotents provide 'some functoriality' to the first Ho
chschild cohomology\, that is\, HH^1(A) is isomorphic to a quotient of HH^
1(B).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mykola Khrypchenko (Univesity of Porto\, Portugal)
DTSTART;VALUE=DATE-TIME:20230904T150000Z
DTEND;VALUE=DATE-TIME:20230904T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/36
DESCRIPTION:Title: Transposed Poisson structures\nby Mykola Khrypchenko (Univesity
of Porto\, Portugal) as part of European Non-Associative Algebra Seminar\n
\n\nAbstract\nA transposed Poisson algebra is a triple (L\,⋅\,[⋅\,⋅]
) consisting of a vector space L with two bilinear operations ⋅ and [⋅
\,⋅]\, such that (L\,⋅) is a commutative associative algebra\; (L\,[
⋅\,⋅]) is a Lie algebra\; the "transposed" Leibniz law holds: 2z⋅[x\
,y]=[z⋅x\,y]+[x\,z⋅y] for all x\,y\,z∈L. A transposed Poisson algebr
a structure on a Lie algebra (L\,[⋅\,⋅]) is a (commutative associative
) multiplication ⋅ on L such that (L\,⋅\,[⋅\,⋅]) is a transposed P
oisson algebra. I will give an overview of my recent results in collaborat
ion with Ivan Kaygorodov (Universidade da Beira Interior) on classificatio
n of transposed Poisson structures on several classes of Lie algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bauyrzhan Sartayev (Suleyman Demirel University\, Kazakhstan)
DTSTART;VALUE=DATE-TIME:20230911T150000Z
DTEND;VALUE=DATE-TIME:20230911T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/37
DESCRIPTION:Title: Binary perm algebras and alternative algebras\nby Bauyrzhan Sart
ayev (Suleyman Demirel University\, Kazakhstan) as part of European Non-As
sociative Algebra Seminar\n\n\nAbstract\nWe describe the defining identiti
es of a variety of binary perm algebras which is a subvariety of the varie
ty of alternative algebras. Moreover\, we construct a basis of the free bi
nary perm algebra. In addition\, we describe the subalgebras of binary per
m algebras under commutator which has a connection with Malcev algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hader Elgendy (Damietta University\, Egypt)
DTSTART;VALUE=DATE-TIME:20230925T150000Z
DTEND;VALUE=DATE-TIME:20230925T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/38
DESCRIPTION:Title: On Jordan quadruple systems\nby Hader Elgendy (Damietta Universi
ty\, Egypt) as part of European Non-Associative Algebra Seminar\n\n\nAbstr
act\nWe present the recent results on Jordan quadruple systems. We show th
e Peirce decomposition for a Jordan quadruple system with respect to a qua
dripotent. We extend the notions of the orthogonality\, primitivity\, and
minimality of tripotents in a Jordan triple system to that of quadripotent
s\nin a Jordan quadruple system. We show the relation between minimal and
primitive quadripotents in a Jordan quadruple system. We also discuss the
results on complemented subsystems of Jordan quadruple systems.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alfilgen Sebandal (Mindanao State University\, Philippines)
DTSTART;VALUE=DATE-TIME:20231002T150000Z
DTEND;VALUE=DATE-TIME:20231002T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/39
DESCRIPTION:Title: Finite graded classification conjecture for Leavitt path algebras\nby Alfilgen Sebandal (Mindanao State University\, Philippines) as part
of European Non-Associative Algebra Seminar\n\n\nAbstract\nGiven a directe
d graph\, one can associate two algebraic entities: the Leavitt path algeb
ra and the talented monoid. The Graded Classification conjecture states th
at the talented monoid could be a graded invariant for the Leavitt path al
gebra\, i.e.\, isomorphism in the talented monoids reflects as graded equi
valence in the category of graded modules over the Leavitt path algebra of
the corresponding directed graphs. In this talk\, we shall see confirmati
ons of this invariance in the ideal structure of the talented monoid with
the so-called Gelfand-Kirillov Dimension of the Leavitt path algebra. The
last part of the talk is an affirmation of the Graded classification conje
cture in the finite-dimensional case. This is a compilation of joint works
with Roozbeh Hazrat\, Wolfgang Bock\, and Jocelyn P. Vilela.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Chapman (Academic College of Tel-Aviv-Yaffo\, Israel)
DTSTART;VALUE=DATE-TIME:20230918T150000Z
DTEND;VALUE=DATE-TIME:20230918T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/40
DESCRIPTION:Title: Roots and Critical Points of Cayley-Dickson Algebras\nby Adam Ch
apman (Academic College of Tel-Aviv-Yaffo\, Israel) as part of European No
n-Associative Algebra Seminar\n\n\nAbstract\n"We study the roots and criti
cal points (i.e.\, points at which the formal derivative vanishes) of stan
dard polynomials over Cayley-Dickson algebras.\nIn the anisotropic real ca
se\, we prove that the critical points live inside the convex hull of the
roots of the polynomial.\nThe talk is based on joint work with Alexander G
uterman\, Solomon Vishkautsan and Svetlana Zhilina."\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Petr Vojtěchovský (University of Denver\, USA)
DTSTART;VALUE=DATE-TIME:20231030T150000Z
DTEND;VALUE=DATE-TIME:20231030T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/41
DESCRIPTION:Title: Solvability and nilpotence just beyond groups\nby Petr Vojtěcho
vský (University of Denver\, USA) as part of European Non-Associative Alg
ebra Seminar\n\n\nAbstract\nSolvability and nilpotence arise naturally fro
m the commutator theory in congruence modular varieties. In the presence o
f associativity\, the resulting concepts agree with the classical concepts
of group theory. But the two kinds of solvability differ in loops ( = not
necessarily associative groups) and it is a difficult question to determi
ne the boundary where the two theories coincide. I will review the general
theory and report on recent results\, particularly in Moufang loops. For
instance\, we will prove the Odd Order Theorem for Moufang loops for the s
tronger notion of solvability. This is joint work with Ales Drapal and Dav
id Stanovsky.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Gorbatsevich (Russian State Technological University name
d after K.E. Tsiolkovky\, Russia)
DTSTART;VALUE=DATE-TIME:20231009T150000Z
DTEND;VALUE=DATE-TIME:20231009T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/42
DESCRIPTION:Title: On some classes of bases in finite-dimensional Lie algebras\nby
Vladimir Gorbatsevich (Russian State Technological University named after
K.E. Tsiolkovky\, Russia) as part of European Non-Associative Algebra Semi
nar\n\n\nAbstract\nLie algebras having bases of a special form (nice and b
eautiful bases) are considered. For nice bases\, it is proved that in any
nilpotent Lie algebra their number (up to equivalence) is ﬁnite. For som
e Lie algebras of low dimension\, it is shown that\, when passing from a c
omplex Lie algebra to its realiﬁcation\, the property to have a beautifu
l basis is lost. Also nilpotent Lie algebras of dimensions less than 8 are
considered.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Markl (The Czech Academy of Sciences\, Czechia)
DTSTART;VALUE=DATE-TIME:20231023T150000Z
DTEND;VALUE=DATE-TIME:20231023T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/43
DESCRIPTION:Title: Transfers of strongly homotopy structures as Grothendieck bifibratio
ns\nby Martin Markl (The Czech Academy of Sciences\, Czechia) as part
of European Non-Associative Algebra Seminar\n\n\nAbstract\nIt is well-know
n that strongly homotopy structures can be transferred over chain homotopy
equivalences. Using the uniqueness results of Markl & Rogers we show that
the transfers could be organized into a discrete Grothendieck bifibration
. An immediate aplication is e.g. functoriality up to isotopy.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guodong Zhou (East China Normal University\, China)
DTSTART;VALUE=DATE-TIME:20231016T150000Z
DTEND;VALUE=DATE-TIME:20231016T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/44
DESCRIPTION:Title: The homotopy theory of operated algebras\nby Guodong Zhou (East
China Normal University\, China) as part of European Non-Associative Algeb
ra Seminar\n\n\nAbstract\nThe talk is a survey of our recent results on th
e homotopy theory of operated algebras such as Rota-Baxter associative (or
Lie) algebras and differential associative (or Lie) algebras etc. We make
explicit the Kozul dual homotopy cooperads and the minimal models of the
operads governing these operated algebras. As a consequence the L-infinity
structures on the deformation complexes are described as well.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:František Marko (Pennsylvania State University\, USA)
DTSTART;VALUE=DATE-TIME:20231113T150000Z
DTEND;VALUE=DATE-TIME:20231113T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/45
DESCRIPTION:Title: Blocks of rational supermodules over some quasi-reductive supergroup
s in positive characteristic\nby František Marko (Pennsylvania State
University\, USA) as part of European Non-Associative Algebra Seminar\n\n\
nAbstract\nThis is an overview of joint work with Alexandr N. Zubkov. We d
iscuss linkage principles and blocks for general linear\, ortho-symplectic
\, and periplectic supergroups over fields of positive characteristics. In
the end\, we describe the strong linkage principle and blocks for the que
er supergroup Q(2)."\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Senne Trappeniers (Free University of Brussels\, Belgium)
DTSTART;VALUE=DATE-TIME:20231127T150000Z
DTEND;VALUE=DATE-TIME:20231127T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/46
DESCRIPTION:Title: The interplay between skew braces\, the Yang–Baxter equation and H
opf–Galois structures\nby Senne Trappeniers (Free University of Brus
sels\, Belgium) as part of European Non-Associative Algebra Seminar\n\n\nA
bstract\nIn 2007\, Wolfgang Rump introduced algebraic objects called brace
s\, these gen- eralise Jacobson radical rings and are related to involutiv
e non-degenerate set- theoretic solutions of the Yang–Baxter equation (Y
BE). These objects were subse- quently generalised to skew braces by Leand
ro Guarnieri and Leandro Vendramin in 2017\, and a similar relation was sh
own to hold for non-degenerate set-theoretic solutions of the YBE which ar
e not necessarily involutive. In this talk\, we will de- scribe this inter
play between skew braces and the YBE. We will also discuss their relation
to Hopf–Galois structures and see how this extends the classical Galois
theory in an elegant way.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Svetlana Zhilina (Lomonosov Moscow State University\, Russia)
DTSTART;VALUE=DATE-TIME:20231106T150000Z
DTEND;VALUE=DATE-TIME:20231106T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/47
DESCRIPTION:Title: On the lengths of Okubo algebras\nby Svetlana Zhilina (Lomonosov
Moscow State University\, Russia) as part of European Non-Associative Alg
ebra Seminar\n\n\nAbstract\nThe length function of a non-associative algeb
ra describes the guaranteed number of multiplications which will be suffic
ient to generate the whole algebra with its arbitrary generating set. In t
his talk we present a new method for length computation based on the seque
nce of differences between the dimensions of a certain sequence of subspac
es. It allows us to compute the length of an Okubo algebra A over an arbit
rary field. Namely\, if A contains either nonzero idempotents or zero divi
sors\, then its length equals four\, and otherwise its length equals three
. We also show that\, in the latter case\, A is generated by any two eleme
nts which do not belong to the same two-dimensional subalgebra. The talk i
s based on a joint work with Alexander Guterman.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Artem Lopatin (University of Campinas\, Brazil)
DTSTART;VALUE=DATE-TIME:20231120T150000Z
DTEND;VALUE=DATE-TIME:20231120T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/48
DESCRIPTION:Title: Polynomial invariants for two dimensional algebras\nby Artem Lop
atin (University of Campinas\, Brazil) as part of European Non-Associative
Algebra Seminar\n\nAbstract: TBA\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Fernández Ouaridi (University of Coimbra\, Portugal)
DTSTART;VALUE=DATE-TIME:20231204T150000Z
DTEND;VALUE=DATE-TIME:20231204T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/49
DESCRIPTION:Title: On the simple transposed Poisson algebras and Jordan superalgebras\nby Amir Fernández Ouaridi (University of Coimbra\, Portugal) as part
of European Non-Associative Algebra Seminar\n\n\nAbstract\nWe prove that a
transposed Poisson algebra is simple if and only if its associated Lie br
acket is simple. Consequently\, any simple finite-dimensional transposed P
oisson algebra over an algebraically closed field of characteristic zero i
s trivial. Similar results are obtained for transposed Poisson superalgebr
as. An example of a non-trivial simple finite-dimensional transposed Poiss
on algebra is constructed by studying the transposed Poisson structures on
the modular Witt algebra. Furthermore\, we show that the Kantor double of
a transposed Poisson algebra is a Jordan superalgebra\, that is\, we prov
e that transposed Poisson algebras are Jordan brackets. Additionally\, a
simplicity criterion for the Kantor double of a transposed Poisson algebra
is obtained.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanne Pumpluen (University of Nottingham\, UK)
DTSTART;VALUE=DATE-TIME:20231211T150000Z
DTEND;VALUE=DATE-TIME:20231211T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/50
DESCRIPTION:Title: A way to generalize classical results from central simple algebras t
o the nonassociative setting\nby Susanne Pumpluen (University of Notti
ngham\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAbstr
act\nRecently\, the theory of semiassociative algebras and their Brauer mo
noid was introduced by Blachar\, Haile\, Matri\, Rein\, and Vishne as a
canonical generalization of the theory of associative central simple alge
bras and their Brauer group: together with the tensor product semiassociat
ive algebras over a field form a monoid that contains the classical Brauer
group as its unique maximal subgroup. We present classes of semiassociati
ve algebras that are canonical generalizations of classes of certain centr
al simple algebras and explore their behaviour in the Brauer monoid. Time
permitting\, we also discuss some - hopefully interesting - particularitie
s of this newly defined Brauer monoid.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergio R. López-Permouth (Ohio University\, USA)
DTSTART;VALUE=DATE-TIME:20240108T150000Z
DTEND;VALUE=DATE-TIME:20240108T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/51
DESCRIPTION:Title: Basic Extension Modules (All bases are created equal\, but some are
more equal than others)\nby Sergio R. López-Permouth (Ohio University
\, USA) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\
nWe report on ongoing research about a module-theoretic construction which
\, when successful\, yields natural extensions of infinite dimensional mod
ules over arbitrary algebras. Whether the construction works or not depend
s on the basis that one chooses to carry on such a construction. Bases tha
t work are said to be amenable. A natural example on which one may focus i
s when the module is the algebra itself. For instance\, a great deal of th
e work done so far has focused on infinite dimensional algebra of polynomi
als on a single variable. We will see that amenability and related notions
serve to classify the distinct bases according to interesting complementa
ry properties having to do with the types of relations induced on them by
the properties of their change-of-basis matrices.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Tkachev (Linköping University\, Sweden)
DTSTART;VALUE=DATE-TIME:20240115T150000Z
DTEND;VALUE=DATE-TIME:20240115T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/52
DESCRIPTION:Title: Some questions of nonassociative algebra from the idempotent point o
f view\nby Vladimir Tkachev (Linköping University\, Sweden) as part o
f European Non-Associative Algebra Seminar\n\n\nAbstract\nHow to recover a
n algebra structure if the algebra does NOT satisfy any reasonable identit
y? How to characterize its idempotents\, their spectrum\, or fusion laws?
In my talk\, I will discuss what can be thought of as "nonassociative alge
bra in large"\, imitating a well-known concept of "geometry in large". In
other words\, the properties of nonassociative algebras which crucially de
pend on a complete set of idempotents. The latter is very related to the c
oncept of generic algebras. I will explain some recent results in this dir
ection and some unsolved problems.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Friedrich Wagemann (University of Nantes\, France)
DTSTART;VALUE=DATE-TIME:20240122T150000Z
DTEND;VALUE=DATE-TIME:20240122T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/53
DESCRIPTION:Title: Cohomology of semi-direct product Lie algebras\nby Friedrich Wag
emann (University of Nantes\, France) as part of European Non-Associative
Algebra Seminar\n\n\nAbstract\nThis is joint work with Dietrich Burde (Uni
versity of Vienna\, Austria). Intrigued by computations of Richardson\, ou
r goal is to compute the adjoint cohomology spaces of Lie algebras which a
re the semi-direct product of a simple Lie algebra s and an s-module. We p
resent some theorems and conjectures in these cohomologies.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yanyong Hong (Hangzhou Normal University\, China)
DTSTART;VALUE=DATE-TIME:20240129T150000Z
DTEND;VALUE=DATE-TIME:20240129T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/54
DESCRIPTION:Title: Novikov bialgebras\, infinite-dimensional Lie bialgebras and Lie con
formal bialgebras\nby Yanyong Hong (Hangzhou Normal University\, China
) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn th
is talk\, I will introduce a bialgebra theory for the Novikov algebra\, na
mely the Novikov bialgebra\, which is characterized by the fact that its a
ffinization (by a quadratic right Novikov algebra) gives an infinite-dimen
sional Lie bialgebra. A Novikov bialgebra is also characterized as a Manin
triple of Novikov algebras. The notion of Novikov Yang-Baxter equation is
introduced\, whose skewsymmetric solutions can be used to produce Novikov
bialgebras and hence Lie bialgebras. These solutions also give rise to sk
ewsymmetric solutions of the classical Yang-Baxter equation in the infinit
e-dimensional Lie algebras from the Novikov algebras. Moreover\, a similar
connection between Novikov bialgebras and Lie conformal bialgebras will b
e introduced. This talk is based on joint works with Chengming Bai and Li
Guo.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lucas Buzaglo (University of Edinburgh\, UK)
DTSTART;VALUE=DATE-TIME:20240205T150000Z
DTEND;VALUE=DATE-TIME:20240205T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/55
DESCRIPTION:Title: Derivations\, extensions\, and rigidity of subalgebras of the Witt a
lgebra\nby Lucas Buzaglo (University of Edinburgh\, UK) as part of Eur
opean Non-Associative Algebra Seminar\n\n\nAbstract\nWe study Lie algebrai
c properties of subalgebras of the Witt algebra and the one-sided Witt alg
ebra: we compute derivations\, one-dimensional extensions\, and automorphi
sms of these subalgebras. In particular\, all these properties are inherit
ed from the full Witt algebra (e.g. derivations of subalgebras are simply
restrictions of derivations of the Witt algebra). We also prove that any i
somorphism between subalgebras of finite codimension extends to an automor
phism of the Witt algebra. We explain this "rigid" behavior by proving a u
niversal property satisfied by the Witt algebra as a completely non-split
extension of any of its subalgebras of finite codimension. This is a purel
y Lie algebraic property which I will introduce in the talk.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Saïd Benayadi (University of Lorraine\, France)
DTSTART;VALUE=DATE-TIME:20240212T150000Z
DTEND;VALUE=DATE-TIME:20240212T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/56
DESCRIPTION:Title: On a class of pseudo-Euclidean left-symmetric algebras\nby Saïd
Benayadi (University of Lorraine\, France) as part of European Non-Associ
ative Algebra Seminar\n\n\nAbstract\nA pseudo-Euclidean left-symmetric alg
ebra $(A\, .\,< \, >)$ is a real left-symmetric algebra $(A\,.)$ endowed w
ith a non-degenerate symmetric bilinear form $< \, >$ such that left mult
iplications by any element of A are skew-symmetric with respect to $< \, >
$. We recall that a pseudo-Euclidean Lie algebra $(g\, [ \, ]\, < \, >)$ i
s flat if and only if $(g\, .\, \,< \, >)$ its underlying vector space en
dowed with the Levi-Civita product associated with $< \, >$ is a pseudo-Eu
clidean left-symmetric algebra. In this talk\, We will give an inductive c
lassification of pseudo-Euclidean left-symmetric algebras $(A\, .\,< \, >
)$ such that commutators of allelements of A are contained in the left ann
ihilator of $(A\, .)\,$ these algebras will be called pseudo-Euclidean lef
t-symmetric L−algebras of any signature. To do this\, we will develop do
uble extension processes that allow us to have inductive descriptions of a
ll pseudo-Euclidean left-symmetric $L$−algebras and of all its pseudo-Eu
clidean modules.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victor Hildebrandsson (Linköping University\, Sweden)
DTSTART;VALUE=DATE-TIME:20240219T150000Z
DTEND;VALUE=DATE-TIME:20240219T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/57
DESCRIPTION:Title: Octonion algebras over schemes and the equivalence of isotopes and i
sometric forms\nby Victor Hildebrandsson (Linköping University\, Swed
en) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn
2019\, Alsaody and Gille show that\, for octonion algebras over unital com
mutative rings\, there is an equivalence between isotopes and isometric qu
adratic forms. This leads us to a question: can this equivalence be genera
lized to octonion algebras over a (not necessarily affine) scheme? We give
the basic definitions of octonion algebras over schemes. We show that an
isotope of an octonion algebra C over a scheme is isomorphic to a twist by
an Aut(C)–torsor. We conclude by giving an affirmative answer to our qu
estion.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilya Gorshkov (Sobolev Institute of Mathematics\, Russia)
DTSTART;VALUE=DATE-TIME:20240226T150000Z
DTEND;VALUE=DATE-TIME:20240226T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/58
DESCRIPTION:Title: Pseudo-composition algebras as axial algebras\nby Ilya Gorshkov
(Sobolev Institute of Mathematics\, Russia) as part of European Non-Associ
ative Algebra Seminar\n\n\nAbstract\nWe show that pseudo-composition algeb
ras and train algebras of rank 3 generated by idempotents are characterize
d as axial algebras with fusion laws derived from the Peirce decomposition
s of idempotents in these classes of algebras. The corresponding axial alg
ebras are called PC(η)-axial algebras\, where η is an element of the gro
und field. As a first step towards their classification\, we describe 2−
and 3-generated subalgebras of such algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Turner (University of Birmingham\, UK)
DTSTART;VALUE=DATE-TIME:20240304T150000Z
DTEND;VALUE=DATE-TIME:20240304T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/59
DESCRIPTION:Title: Skew Axial Algebras of Monster Type\nby Michael Turner (Universi
ty of Birmingham\, UK) as part of European Non-Associative Algebra Seminar
\n\n\nAbstract\nGiven a 2-generated primitive axial algebra of Monster Typ
e\, it has been shown that it has an axet which is regular or skew. With a
ll the known examples being regular\, it was proposed if any axial algebra
were skew and if so\, can they be classified. We will begin by defining a
xial algebras and axets\, before producing examples of axial algebras with
skew axets. We will finish by stating the complete classification of thes
e skew axial algebras and mention how it was proven.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:María Alejandra Alvarez (University of Antofagasta\, Chile)
DTSTART;VALUE=DATE-TIME:20240311T150000Z
DTEND;VALUE=DATE-TIME:20240311T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/60
DESCRIPTION:Title: On S-expansions and other transformations of Lie algebras\nby Ma
ría Alejandra Alvarez (University of Antofagasta\, Chile) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nThe aim of this work i
s to study the relation between S-expansions and other transformations of
Lie algebras. In particular\, we prove that contractions\, deformations an
d central extensions of Lie algebras are preserved by S-expansions. We als
o provide several examples and give conditions so transformations of reduc
ed subalgebras of S-expanded algebras are preserved by the S-expansion pro
cedure. This is a joint work with Javier Rosales-Gómez.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Lopes (University of Porto\, Portugal)
DTSTART;VALUE=DATE-TIME:20240325T150000Z
DTEND;VALUE=DATE-TIME:20240325T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/62
DESCRIPTION:Title: Torsionfree representations of Smith algebras\nby Samuel Lopes (
University of Porto\, Portugal) as part of European Non-Associative Algebr
a Seminar\n\n\nAbstract\nWe will discuss representations of the Smith alge
bra which are free of finite rank over a subalgebra which plays a role ana
logous to that of the (enveloping algebra of the) Cartan subalgebra of the
simple Lie algebra $\\mathfrak{sl}_2$. In the case of rank 1 we obtain a
full description of the isomorphism classes\, a simplicity criterion\, and
a combinatorial algorithm to produce all composition series and the multi
plicities of the simple factors. This is joint work with V. Futorny (SUSTe
ch & USP) and E. Mendonça (Lyon & USP).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernard Rybołowicz (Heriot-Watt University\, UK)
DTSTART;VALUE=DATE-TIME:20240408T150000Z
DTEND;VALUE=DATE-TIME:20240408T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/64
DESCRIPTION:Title: On affine nature of trusses\nby Bernard Rybołowicz (Heriot-Watt
University\, UK) as part of European Non-Associative Algebra Seminar\n\n\
nAbstract\nIn this presentation\, I will introduce the audience to ternary
algebras called heaps and trusses. Specifically\, I will familiarize the
audience with modules over trusses\, highlighting differences with modules
over rings. The main point will be to show the close relationship between
modules over trusses and affine spaces over rings. I will illustrate that
modules over trusses occupy a position between modules over rings and aff
ine spaces over rings.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paola Stefanelli (University of Salento\, Italy)
DTSTART;VALUE=DATE-TIME:20240415T150000Z
DTEND;VALUE=DATE-TIME:20240415T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/65
DESCRIPTION:Title: Płonka sums of set-theoretical solutions of the Yang-Baxter equatio
n\nby Paola Stefanelli (University of Salento\, Italy) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nThe Płonka sum is one
of the most significant composition methods in Universal Algebra introduc
ed by Jerzy Płonka in 1967. In particular\, Clifford semigroups have turn
ed out to be the first instances of Płonka sums of groups. In this talk\,
we illustrate a method for constructing set-theoretical solutions of the
Yang-Baxter equation that is inspired by the notion of the Płonka sums. M
oreover\, we will show how to obtain solutions of this type by considering
dual weak braces\, algebraic structures recently studied and described in
a joint work with Francesco Catino and Marzia Mazzotta.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stéphane Launois (University of Kent\, UK)
DTSTART;VALUE=DATE-TIME:20240422T150000Z
DTEND;VALUE=DATE-TIME:20240422T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/66
DESCRIPTION:Title: Derivations of quantum algebras\nby Stéphane Launois (Universi
ty of Kent\, UK) as part of European Non-Associative Algebra Seminar\n\n\n
Abstract\nI will report on joint work in progress with Samuel Lopes and I
saac Oppong where we aim to compute the derivations of quantum nilpotent a
lgebras\, a class on noncommutative algebras which includes in particular
the positive part of quantised enveloping algebras and quantum Schubert ce
lls.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Louis Rowen (Bar-Ilan University\, Israel)
DTSTART;VALUE=DATE-TIME:20240506T150000Z
DTEND;VALUE=DATE-TIME:20240506T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/68
DESCRIPTION:Title: Weakly primitive axial algebras\nby Louis Rowen (Bar-Ilan Univer
sity\, Israel) as part of European Non-Associative Algebra Seminar\n\n\nAb
stract\nIn earlier work we studied the structure of primitive axial algeb
ras of Jordan type (PAJ's)\, not necessarily commutative\, in terms of the
ir primitive axes. In this paper we weaken primitivity and permit several
pairs of (left and right) eigenvalues satisfying a more general fusion rul
e\, bringing in interesting new examples such as the band semigroup algebr
as and various noncommutative examples. Also we broaden our investigation
to the case of 2-generated algebras for which only one axis satisfies the
fusion rules. As an example we describe precisely the 2-dimensional axial
algebras and the 3-dimensional and 4-dimensional weakly primitive axial
algebras of Jordan type (weak PAJ's)\, and we see\, in contrast to the cas
e for~PAJ's\, that there are higher dimensional weak PAJ's generated by tw
o axes. We also prove a theorem that enables us to reduce weak PAJ's to un
iform components.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pedro Fagundes (University of Campinas\, Brazil)
DTSTART;VALUE=DATE-TIME:20240318T150000Z
DTEND;VALUE=DATE-TIME:20240318T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/69
DESCRIPTION:Title: The L'vov-Kaplansky conjecture and some of its variations\nby Pe
dro Fagundes (University of Campinas\, Brazil) as part of European Non-Ass
ociative Algebra Seminar\n\n\nAbstract\nThe L'vov-Kaplansky conjecture cla
ims that the image of a multilinear polynomial on the full matrix algebra
is a vector space. Positive results concerning the conjecture are known on
ly for small cases (polynomials of small degree or matrices of small size)
. Besides presenting the main results on the L'vov-Kaplasnky conjecture\,
in this talk we also will discuss some of its variations such as images of
multilinear polynomials on some subalgebras of the full matrix algebra wi
th additional structure (gradings\, involutions\, graded involutions).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anastasia Doikou (Heriot-Watt University\, UK)
DTSTART;VALUE=DATE-TIME:20240520T150000Z
DTEND;VALUE=DATE-TIME:20240520T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/70
DESCRIPTION:Title: Parametric set-theoretic Yang-Baxter equation: p-racks\, solutions &
quantum algebras\nby Anastasia Doikou (Heriot-Watt University\, UK) a
s part of European Non-Associative Algebra Seminar\n\n\nAbstract\nThe theo
ry of the parametric set-theoretic Yang-Baxter equation is established fro
m a purely algebraic point of view. We introduce generalizations of the f
amiliar shelves and racks named parametric (p)-shelves and racks. These ob
jects satisfy a "parametric self-distributivity" condition and lead to sol
utions of the Yang-Baxter equation. Novel\, non-reversible solutions are
obtained from p-shelve/rack solutions by a suitable parametric twist\, whe
reas all reversible set-theoretic solutions are reduced to the identity ma
p via a parametric twist. The universal algebras associated to both p-rack
and generic parametric set-theoretic solutions are next presented and the
corresponding universal R-matrices are derived. By introducing the conce
pt of a parametric coproduct we prove the existence of a parametric co-ass
ociativity. We show that the parametric coproduct is an algebra homomorphs
im and the universal R-matrices intertwine with the algebra coproducts.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rita Fioresi (University of Bologna\, Italy)
DTSTART;VALUE=DATE-TIME:20240624T150000Z
DTEND;VALUE=DATE-TIME:20240624T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/71
DESCRIPTION:Title: Quantum Principal Bundles on Quantum Projective Varieties\nby Ri
ta Fioresi (University of Bologna\, Italy) as part of European Non-Associa
tive Algebra Seminar\n\n\nAbstract\nIn non commutative geometry\, a quantu
m principal bundle over an affine base is recovered through a deformation
of the algebra of its global sections: the property of being a principal b
undle is encoded by the notion of Hopf Galois extension\, while the local
triviality is expressed by the cleft property. We examine the case of a p
rojective base X in the special case X=G/P\, where G is a complex semisimp
le group and P a parabolic subgroup. The quantization of G will then be in
terpreted as the quantum principal bundle on the quantum base space X\, ob
tained via a quantum section.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yvain Bruned (University of Lorraine\, France)
DTSTART;VALUE=DATE-TIME:20240527T150000Z
DTEND;VALUE=DATE-TIME:20240527T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/72
DESCRIPTION:Title: Novikov algebras and multi-indices in regularity structures\nby
Yvain Bruned (University of Lorraine\, France) as part of European Non-Ass
ociative Algebra Seminar\n\n\nAbstract\nIn this talk\, we will present mul
ti-Novikov algebras\, a generalisation of Novikov algebras with several bi
nary operations indexed by a given set\, and show that the multi-indices r
ecently introduced in the context of singular stochastic partial different
ial equations can be interpreted as free multi-Novikov algebras. This is p
arallel to the fact that decorated rooted trees arising in the context of
regularity structures are related to free multi-pre-Lie algebras. This is
a joint work with Vladimir Dotsenko.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudemir Fideles (University of Campinas\, Brazil)
DTSTART;VALUE=DATE-TIME:20240603T150000Z
DTEND;VALUE=DATE-TIME:20240603T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/73
DESCRIPTION:Title: Graded identities in Lie algebras with Cartan gradings: an algorithm
\nby Claudemir Fideles (University of Campinas\, Brazil) as part of Eu
ropean Non-Associative Algebra Seminar\n\n\nAbstract\nThe classification o
f finite-dimensional semisimple Lie algebras in characteristic 0 represent
s one of the significant achievements in algebra during the first half of
the 20th century. This classification was developed by Killing and by Cart
an. According to the Killing–Cartan classification\, the isomorphism cla
sses of simple Lie algebras over an algebraically closed field of characte
ristic zero correspond one-to-one with irreducible root systems. In the in
finite-dimensional case the situation is more complicated\, and the so-cal
led algebras of Cartan type appear. It is somewhat surprising that graded
identities for Lie algebras have been relatively few results to that exten
t. In this presentation\, we will discuss some of the results obtained thu
s far and introduce an algorithm capable of generating a basis for all gra
ded identities in Lie algebras with Cartan gradings. Specifically\, over a
ny infinite field\, we will apply this algorithm to establish a basis for
all graded identities of $U_1$\, the Lie algebra of derivations of the alg
ebra of Laurent polynomials $K[t\,t^{-1}]$]\, and demonstrate that they d
o not admit any finite basis. The findings discussed in this presentation
are joint works with P. Koshlukov (UNICAMP).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erhard Neher (University of Ottawa)
DTSTART;VALUE=DATE-TIME:20240610T150000Z
DTEND;VALUE=DATE-TIME:20240610T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/74
DESCRIPTION:Title: Corestriction\nby Erhard Neher (University of Ottawa) as part of
European Non-Associative Algebra Seminar\n\n\nAbstract\nCorestriction is
an important technique in the theory of central-simple associative algebra
s over a field. Given a finite étale extension K/F\, e.g. a Galois extens
ion\, corestriction associates a central-simple associative F-algebra with
every central-simple associative K-algebra. In this talk\, I will give an
introduction to corestriction over fields\, applicable to nonassociative
algebras. Towards the end of my talk\, I will indicate why it is of intere
st to generalize corestruction to schemes and sketch how this can be done
(joint work Philippe Gille and Cameron Ruether).\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Laubie (University of Strasbourg)
DTSTART;VALUE=DATE-TIME:20240617T150000Z
DTEND;VALUE=DATE-TIME:20240617T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/75
DESCRIPTION:Title: Combinatorics of free pre-Lie algebras and algebras with several pre
-Lie products sharing the Lie bracket\nby Paul Laubie (University of S
trasbourg) as part of European Non-Associative Algebra Seminar\n\n\nAbstra
ct\nUsing the theory of algebraic operads\, we give a combinatorial descri
ption of free pre-Lie algebras (also known as left-symmetric algebras) wit
h rooted trees. A numerical coincidence hints a similar description for al
gebras with several pre-Lie products sharing the Lie bracket using rooted
Greg trees which are rooted trees with black and white vertices such that
black vertices have at least two children. We then show that those Greg tr
ees can be used to give a description of the free Lie algebras.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andronick Arutyunov (Institute of Control Sciences\, Russia)
DTSTART;VALUE=DATE-TIME:20240401T150000Z
DTEND;VALUE=DATE-TIME:20240401T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/76
DESCRIPTION:Title: Derivations and other inductive operator families\nby Andronick
Arutyunov (Institute of Control Sciences\, Russia) as part of European Non
-Associative Algebra Seminar\n\n\nAbstract\nDerivations on group algebras
are linear operators. They satisfy the Leibniz rule. Another example are F
ox derivatives\, which satisfy a different (but very similar) identity. We
will give a construction which generalises all such identities and the co
rresponding operator families. The main element of such a construction is
an action groupoid and the space ofcharacters on it. The second step of th
e construction are characters on special graphs (action diagrams) which ar
e equivalent to classical Cayley graphs for the case of left multiplicatio
n action. I will show the way to interpret inner derivations as a special
case of trivial on loops characters. And we will consider a more general i
deal of quasi-inner derivations. These results are based on the author's r
esults\, and the main approach was proposed in collaboration with prof. A.
S. Mischchenko.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Darpö (Linköping University\, Sweden)
DTSTART;VALUE=DATE-TIME:20240429T150000Z
DTEND;VALUE=DATE-TIME:20240429T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/77
DESCRIPTION:Title: Non-associative algebras in an associative context\nby Erik Darp
ö (Linköping University\, Sweden) as part of European Non-Associative Al
gebra Seminar\n\n\nAbstract\nFor any associative algebra A\, the left regu
lar representation is an embedding of A into its linear endomorphism algeb
ra End(A). In this talk\, I shall explain how this elementary observation
can be generalised to a (less elementary) structure result for general non
-associative algebras. The describes the category of unital\, not necessar
ily associative\, algebras in terms of associative algebras with certain d
istinguished subspaces.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nurlan Ismailov (Astana IT University\, Kazakhstan)
DTSTART;VALUE=DATE-TIME:20240701T150000Z
DTEND;VALUE=DATE-TIME:20240701T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/78
DESCRIPTION:Title: On variety of right-symmetric algebras\nby Nurlan Ismailov (Asta
na IT University\, Kazakhstan) as part of European Non-Associative Algebr
a Seminar\n\n\nAbstract\nThe problem of the existence of a finite basis of
identities for a variety of associative algebras over a field of characte
ristic zero was formulated by Specht in 1950. We say that a variety of alg
ebras has the Specht property if any of its subvariety has a finite basis
of identities. In 1988\, A. Kemer proved that the variety of associative a
lgebras over a field of characteristic zero has the Specht property. Spech
t’s problem has been studied for many well-known varieties of algebras\,
such as Lie algebras\, alternative algebras\, right-alternative algebras\
, and Novikov algebras. An algebra is called right-symmetric if it satisfi
es the identity (a\, b\, c) = (a\, c\, b) where (a\, b\, c) = (ab)c − a(
bc) is the associator of a\, b\, c. The talk is devoted to the Specht prob
lem for the variety of right-symmetric algebras. It is proved that the var
iety of right-symmetric algebras over an arbitrary field does not satisfy
the Specht property. The talk is based on the results of joint work with U
. Umirbaev.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrey Lazarev (Lancaster University\, UK)
DTSTART;VALUE=DATE-TIME:20240715T150000Z
DTEND;VALUE=DATE-TIME:20240715T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/80
DESCRIPTION:Title: Cohomology of Lie coalgebras\nby Andrey Lazarev (Lancaster Unive
rsity\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAbstr
act\nAssociated to a Lie algebra g and a g-module M is a standard complex
C*(g\,M) computing the cohomology of g with coefficients in M\; this class
ical construction goes back to Chevalley and Eilenberg of the late 1940s.
Shortly afterwards\, it was realized that this cohomology is an example of
a derived functor in the category of g-modules. The Lie algebra g can be
replaced by a differential graded Lie algebra and M – with a dg g-module
with the same conclusion. Later\, a deep connection with Koszul duality
was uncovered in the works of Quillen (late 1960s) and then Hinich (late
1990s). In this talk I will discuss the cohomology of (dg) Lie coalgebras
with coefficients in dg comodules. The treatment is a lot more delicate\,
underscoring how different Lie algebras and Lie coalgebras are (and simila
rly their modules and comodules). A definitive answer can be obtained for
so-called conilpotent Lie coalgebras (though not necessarily conilpotent c
omodules). If time permits\, I will also discuss some topological applicat
ions.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ioannis Dokas (National and Kapodistrian University of Athens\, Gr
eece)
DTSTART;VALUE=DATE-TIME:20240722T150000Z
DTEND;VALUE=DATE-TIME:20240722T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/81
DESCRIPTION:Title: On Quillen-Barr-Beck cohomology for restricted Lie algebras\nby
Ioannis Dokas (National and Kapodistrian University of Athens\, Greece) as
part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn this t
alk we define and study Quillen-Barr-Beck cohomology for the category of r
estricted Lie algebras. We prove that the first Quillen-Barr-Beck’s coho
mology classifies general abelian extensions of restricted Lie algebras. M
oreover\, using Duskin-Glenn’s torsors cohomology theory\, we prove a cl
assification theorem for the second Quillen-Barr-Beck cohomology group in
terms of 2-fold extensions of restricted Lie algebras. Finally\, we give a
n interpretation of Cegarra-Aznar’s exact sequence for torsor cohomology
.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Catoire (University of the Littoral Opal Coast\, France)
DTSTART;VALUE=DATE-TIME:20240812T150000Z
DTEND;VALUE=DATE-TIME:20240812T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/82
DESCRIPTION:Title: The free tridendriform algebra\, Schroeder trees and Hopf algebras\nby Pierre Catoire (University of the Littoral Opal Coast\, France) as
part of European Non-Associative Algebra Seminar\n\nInteractive livestream
: https://us02web.zoom.us/j/7803181064\n\nAbstract\nThe notions of dendrif
orm algebras\, respectively tridendriform\, describe the action of some el
ements of the symmetric groups called shuffle\, respectively quasi-shuffle
over the set of words whose letters are elements of an alphabet\, respect
ively of a monoid. A link between dendriform and tridendriform algebras wi
ll be made. Those words algebras satisfy some properties but they are not
free. This means that they satisfy extra properties like commutativity. In
this talk\, we will describe the free tridendriform algebra. It will be d
escribed with planar trees (not necessarily binary) called Schroeder trees
. We will describe the tridendriform structure over those trees in a non-r
ecursive way. Then\, we will build a coproduct on this algebra that will m
ake it a (3\, 2)-dendriform bialgebra graded by the number of leaves. Once
it will be build\, we will study this Hopf algebra: duality\, quotient sp
aces\, dimensions\, study of the primitives elements...\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Isabel Martin-Lyons (Keele University\, UK)
DTSTART;VALUE=DATE-TIME:20240902T150000Z
DTEND;VALUE=DATE-TIME:20240902T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/83
DESCRIPTION:Title: Skew Bracoids\nby Isabel Martin-Lyons (Keele University\, UK) as
part of European Non-Associative Algebra Seminar\n\nInteractive livestrea
m: https://us02web.zoom.us/j/7803181064\n\nAbstract\nThe skew brace was de
vised by Guanieri and Vendramin in 2017\, building on Rump's brace. Since
then\, the skew brace has been central to the study of solutions to the Ya
ng-Baxter equation\, with connections to many other areas of mathematics i
ncluding Hopf-Galois theory. We introduce the skew bracoid\, a generalisat
ion of the skew brace which can arise as a partial quotient thereof. We ex
plore the connection between skew bracoids and Hopf-Galois theory\, as wel
l as the more recent connection to solutions of the Yang-Baxter equation.\
n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tomasz Brzezinski (Swansea University\, UK)
DTSTART;VALUE=DATE-TIME:20240513T150000Z
DTEND;VALUE=DATE-TIME:20240513T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/84
DESCRIPTION:Title: Lie brackets on affine spaces\nby Tomasz Brzezinski (Swansea Uni
versity\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAbs
tract\nWe first explore the definition of an affine space which makes no r
eference to the underlying vector space and then formulate the notion of a
Lie bracket and hence a Lie algebra on an affine space in this framework.
Since an affine space has neither distinguished elements nor additive str
ucture\, the concepts of antisymmetry and Jacobi identity need to be modif
ied. We provide suitable modifications and illustrate them by a number of
examples. The talk is based in part on joint works with James Papworth and
Krzysztof Radziszewski.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dominique Manchon (Clermont Auvergne University\, France)
DTSTART;VALUE=DATE-TIME:20240909T150000Z
DTEND;VALUE=DATE-TIME:20240909T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/85
DESCRIPTION:by Dominique Manchon (Clermont Auvergne University\, France) a
s part of European Non-Associative Algebra Seminar\n\nInteractive livestre
am: https://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Érica Fornaroli (State University of Maringá\, Brazil)
DTSTART;VALUE=DATE-TIME:20240729T150000Z
DTEND;VALUE=DATE-TIME:20240729T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/86
DESCRIPTION:Title: Involutions of the second kind on finitary incidence algebras\nb
y Érica Fornaroli (State University of Maringá\, Brazil) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nLet K be a field and X
a connected partially ordered set. In this talk we show that the finitary
incidence algebra FI(X\, K) of X over K has an involution of the second k
ind if and only if X has an involution and K has an automorphism of order
2. We also present a characterization of the involutions of the second kin
d on FI(X\, K). We conclude by giving necessary and sufficient conditions
for two involutions of the second kind on FI(X\, K) to be equivalent in th
e case where characteristic of K is different from 2 and every multiplicat
ive automorphism of FI(X\, K) is inner.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuly Billig (Carleton University\, Canada)
DTSTART;VALUE=DATE-TIME:20240819T150000Z
DTEND;VALUE=DATE-TIME:20240819T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/87
DESCRIPTION:Title: Kac-van de Leur Conjecture and Quasi-Poisson Algebras\nby Yuly B
illig (Carleton University\, Canada) as part of European Non-Associative A
lgebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/780318
1064\n\nAbstract\nSuperconformal algebras are graded Lie superalgebras of
growth 1\, containing a Virasoro subalgebra. They play an important role i
n Conformal Field Theory. In 1988 Kac and van de Leur made a conjectural l
ist of simple superconformal algebras\, which since has been amended with
an exceptional superalgebra CK(6). We introduce quasi-Poisson algebras and
show how to use them to construct known simple superconformal algebras. Q
uasi-Poisson algebras may be viewed as a refinement of the notion of Novik
ov algebras. Quasi-Poisson algebras may be used for computations of automo
rphisms and twisted forms of superconformal algebras.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonas Deré (Catholic University of Leuven\, Belgium)
DTSTART;VALUE=DATE-TIME:20240826T150000Z
DTEND;VALUE=DATE-TIME:20240826T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/88
DESCRIPTION:Title: Simply transitive NIL-affine actions of solvable Lie groups\nby
Jonas Deré (Catholic University of Leuven\, Belgium) as part of European
Non-Associative Algebra Seminar\n\nInteractive livestream: https://us02web
.zoom.us/j/7803181064\n\nAbstract\nAlthough not every 1-connected solvable
Lie group G admits a simply transitive action via affine maps on R^n\, it
is known that such an action exists if one replaces R^n by a suitable nil
potent Lie group H\, depending on G. However\, not much is known about whi
ch pairs of Lie groups (G\,H) admit such an action\, where ideally you onl
y need information about the Lie algebras corresponding to G and H. In rec
ent work with Marcos Origlia\, we show that every simply transitive action
induces a post-Lie algebra structure on the corresponding Lie algebras. M
oreover\, if H has nilpotency class 2 we characterize the post-Lie algebra
structures coming from such an action by giving a new definition of compl
eteness\, extending the known cases where G is nilpotent or H is abelian.\
n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Agore (Free University of Brussels\, Belgium)
DTSTART;VALUE=DATE-TIME:20241007T150000Z
DTEND;VALUE=DATE-TIME:20241007T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/89
DESCRIPTION:by Ana Agore (Free University of Brussels\, Belgium) as part o
f European Non-Associative Algebra Seminar\n\nInteractive livestream: http
s://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jörg Feldvoss (University of South Alabama\, USA)
DTSTART;VALUE=DATE-TIME:20240916T150000Z
DTEND;VALUE=DATE-TIME:20240916T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/90
DESCRIPTION:Title: Semi-simple Leibniz algebras\nby Jörg Feldvoss (University of S
outh Alabama\, USA) as part of European Non-Associative Algebra Seminar\n\
nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\
nLeibniz algebras were introduced by Blo(c)h in the 1960’s and rediscove
red by Loday in the 1990’s as non-anticommutative analogues of Lie algeb
ras. Many results for Lie algebras have been proven to hold for Leibniz al
gebras\, but there are also several results that are not true in this more
general context. In my talk\, I will investigate the structure of semi-si
mple Leibniz algebras. In particular\, I will prove a simplicity criterion
for (left) hemi-semidirect products of a Lie algebra g and a (left) g-mod
ule. For example\, in characteristic zero every finite-dimensional simple
Leibniz algebra is such a hemi-semidirect product. But this also holds for
some infinite-dimensional Leibniz algebras or sometimes in non-zero chara
cteristics. More generally\, the structure of finite- dimensional semi-sim
ple Leibniz algebras in characteristic zero can be reduced to the well-kno
wn structure of finite-dimensional semi-simple Lie algebras and their fini
te-dimensional irreducible modules. If time permits\, I will apply these s
tructure results to derive some properties of finite-dimensional semi-simp
le Leibniz algebras in characteristic zero and other Leibniz algebras that
are hemi-semidirect products.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arne Van Antwerpen (Ghent University\, Belgium)
DTSTART;VALUE=DATE-TIME:20240930T150000Z
DTEND;VALUE=DATE-TIME:20240930T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/91
DESCRIPTION:by Arne Van Antwerpen (Ghent University\, Belgium) as part of
European Non-Associative Algebra Seminar\n\nInteractive livestream: https:
//us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Łukasz Kubat (University of Warsaw\, Poland)
DTSTART;VALUE=DATE-TIME:20240805T150000Z
DTEND;VALUE=DATE-TIME:20240805T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/92
DESCRIPTION:Title: On Yang-Baxter algebras\nby Łukasz Kubat (University of Warsaw\
, Poland) as part of European Non-Associative Algebra Seminar\n\nInteracti
ve livestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nTo each s
olution of the Yang-Baxter equation one may associate a quadratic algebra
over a field\, called the YB-algebra\, encoding certain information about
the solution. It is known that YB-algebras of finite non-degenerate soluti
ons are (two-sided) Noetherian\, PI and of finite Gelfand-Kirillov dimensi
on. If the solution is additionally involutive then the corresponding YB-a
lgebra shares many other properties with polynomial algebras in commuting
variables (e.g.\, it is a Cohen-Macaulay domain of finite global dimension
). The aim of this talk is to explain the intriguing relationship between
ring-theoretical and homological properties of YB-algebras and properties
of the corresponding solutions of the Yang-Baxter equation. The main focus
is on when such algebras are Noetherian\, (semi)prime and representable.
The talk is based on a joint work with I. Colazzo\, E. Jespers and A. Van
Antwerpen.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jorge Garcés (Technical University of Madrid\, Spain)
DTSTART;VALUE=DATE-TIME:20240708T150000Z
DTEND;VALUE=DATE-TIME:20240708T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/93
DESCRIPTION:Title: Maps preserving the truncation of triple products on Cartan factors<
/a>\nby Jorge Garcés (Technical University of Madrid\, Spain) as part of
European Non-Associative Algebra Seminar\n\n\nAbstract\nWe generalize the
concept of truncation of operators to JB*-triples and study some general p
roperties of bijections preserving the truncation of triple products in b
oth directions between general JB*-triples. In our main result we show tha
t a (non-necessarily linear nor continuous) bijection between atomic JBW*-
triples preserving the truncation of triple products in both directions (a
nd such that the restriction to each rank-one Cartan factor is a continuou
s mapping) is an isometric real linear triple isomorphism.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilya Chevyrev (University of Edinburgh\, UK)
DTSTART;VALUE=DATE-TIME:20241021T150000Z
DTEND;VALUE=DATE-TIME:20241021T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/94
DESCRIPTION:by Ilya Chevyrev (University of Edinburgh\, UK) as part of Eur
opean Non-Associative Algebra Seminar\n\nInteractive livestream: https://u
s02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carla Rizzo (University of Palermo\, Italy)
DTSTART;VALUE=DATE-TIME:20241111T150000Z
DTEND;VALUE=DATE-TIME:20241111T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/95
DESCRIPTION:Title: Generalized polynomial identities\nby Carla Rizzo (University of
Palermo\, Italy) as part of European Non-Associative Algebra Seminar\n\nI
nteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nA
generalized polynomial identity of an algebra A over a field F is a polyn
omial expression in non-commutative variables and fixed coefficients from
A between the variables such that vanishes upon all substitutions by eleme
nts of A. It is a natural extension of the notion of a polynomial identity
\, in which the coefficients come from the base field F. The idea of gener
alized polynomial identities stems from the observation that sometimes whe
n we study polynomials in matrix algebras\, we want to focus on evaluation
s where certain variables are always replaced by specific elements. The pu
rpose of this talk is to present some recent results on the descrip- tion
of generalized polynomial identities of some interesting algebras.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Fernández (Technical University of Madrid\, Spain)
DTSTART;VALUE=DATE-TIME:20241202T150000Z
DTEND;VALUE=DATE-TIME:20241202T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/96
DESCRIPTION:Title: Noncommutative Poisson geometry and pre-Calabi-Yau algebras\nby
David Fernández (Technical University of Madrid\, Spain) as part of Europ
ean Non-Associative Algebra Seminar\n\nInteractive livestream: https://us0
2web.zoom.us/j/7803181064\n\nAbstract\nIn order to define suitable noncomm
utative Poisson structures\, M. Van den Bergh introduced double Poisson al
gebras and double quasi-Poisson algebras. Furthermore\, N. Iyudu and M. Ko
ntsevich found an insightful correspondence between double Poisson algebra
s and pre-Calabi-Yau algebras\; certain cyclic A∞-algebras which can be
seen as noncommutative versions of shifted Poisson manifolds. In this talk
I will present an extension of the Iyudu-Kontsevich correspondence to the
differential graded setting. I will also explain how double quasi-Poisson
algebras give rise to pre-Calabi-Yau algebras. This is a joint work with
E. Herscovich (EPFL).\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alicia Tocino Sánchez (University of Málaga\, Spain)
DTSTART;VALUE=DATE-TIME:20241216T150000Z
DTEND;VALUE=DATE-TIME:20241216T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/97
DESCRIPTION:Title: Tensor product of evolution algebras\nby Alicia Tocino Sánchez
(University of Málaga\, Spain) as part of European Non-Associative Algebr
a Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\
n\nAbstract\nThe starting point of this talk is the fact that the class of
evolution algebras over a fixed field is closed under tensor product. We
prove that\, under certain conditions\, the tensor product is an evolution
algebra if and only if every factor is an evolution algebra. Another issu
e arises about the inheritance of properties from the tensor product to th
e factors and conversely. For instance\, nondegeneracy\, irreducibility\,
perfectness and simplicity are investigated. The four-dimensional case is
illustrative and useful to contrast conjectures\, so we achieve a complete
classification of four-dimensional perfect evolution algebras emerging as
tensor product of two-dimensional ones. We find that there are four-dimen
sional evolution algebras that are the tensor product of two nonevolution
algebras. This is a joint work together with Yolanda Cabrera Casado\, Dolo
res Martín Barquero and Cándido Martín González.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raschid Abedin (ETH Zürich\, Switzerland)
DTSTART;VALUE=DATE-TIME:20241028T150000Z
DTEND;VALUE=DATE-TIME:20241028T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/98
DESCRIPTION:by Raschid Abedin (ETH Zürich\, Switzerland) as part of Europ
ean Non-Associative Algebra Seminar\n\nInteractive livestream: https://us0
2web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Omar León Sánchez (University of Manchester\, UK)
DTSTART;VALUE=DATE-TIME:20241209T150000Z
DTEND;VALUE=DATE-TIME:20241209T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/99
DESCRIPTION:Title: A basis theorem for Poisson algebras coming from infinite dimensiona
l Lie algebras\nby Omar León Sánchez (University of Manchester\, UK)
as part of European Non-Associative Algebra Seminar\n\nInteractive livest
ream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nI will present joi
nt work with Sue Sierra where we proved the ACC for radical Poisson ideals
of the symmetric algebra of a Dicksonian Lie algebra. Part of the talk wi
ll be devoted to explaining what Dicksonian means (and give a variety of e
xamples)\, and then discuss the method of proof of the basis theorem. We w
ill observe why our result applies to graded-simple Lie algebras.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Slaven Kožić (University of Zagreb\, Croatia)
DTSTART;VALUE=DATE-TIME:20241014T150000Z
DTEND;VALUE=DATE-TIME:20241014T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/100
DESCRIPTION:Title: Representations of the quantum affine vertex algebra associated wi
th the trigonometric $R$-matrix of type $A$\nby Slaven Kožić (Univer
sity of Zagreb\, Croatia) as part of European Non-Associative Algebra Semi
nar\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbs
tract\nOne important problem in the vertex algebra theory is to associate
certain vertex algebra-like objects\, the quantum vertex algebras\, to\
nvarious classes of quantum groups\, such as quantum affine algebras or do
uble Yangians.\nIn this talk\, I will discuss this problem in the con
text of Etingof--Kazhdan's quantum affine vertex algebra $\\mathcal{V}^c(\
\mathfrak{gl}_N)$ associated with the trigonometric $R$-matrix of type $A
$. \nThe main focus will be on the explicit description of the center of
$\\mathcal{V}^c(\\mathfrak{gl}_N)$ at the critical level $c=-N$ and\, furt
hermore\, on the connection between certain classes of $\\mathcal{V}^c(\\m
athfrak{gl}_N)$-modules and representation theories of the quantum affine
algebra of type $A$ and the orthogonal twisted $h$-Yangian. The talk is in
part based on the joint works with Alexander Molev and Lucia Bagnoli.\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ignacio Bajo (University of Vigo\, Spain)
DTSTART;VALUE=DATE-TIME:20240923T150000Z
DTEND;VALUE=DATE-TIME:20240923T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/101
DESCRIPTION:by Ignacio Bajo (University of Vigo\, Spain) as part of Europe
an Non-Associative Algebra Seminar\n\nInteractive livestream: https://us02
web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fernando Montaner (University of Zaragoza\, Spain)
DTSTART;VALUE=DATE-TIME:20241104T150000Z
DTEND;VALUE=DATE-TIME:20241104T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/102
DESCRIPTION:Title: Pairs of quotients of Jordan pairs vialocalorders\nby Fernando
Montaner (University of Zaragoza\, Spain) as part of European Non-Associat
ive Algebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/7
803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carlos André (University of Lisboa\, Portugal)
DTSTART;VALUE=DATE-TIME:20241125T150000Z
DTEND;VALUE=DATE-TIME:20241125T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/103
DESCRIPTION:by Carlos André (University of Lisboa\, Portugal) as part of
European Non-Associative Algebra Seminar\n\nInteractive livestream: https:
//us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pablo Zadunaisky (University of Buenos Aires\, Argentina)
DTSTART;VALUE=DATE-TIME:20241118T150000Z
DTEND;VALUE=DATE-TIME:20241118T160000Z
DTSTAMP;VALUE=DATE-TIME:20240803T043530Z
UID:ENAAS/104
DESCRIPTION:Title: Clebsch-Gordan revisited\nby Pablo Zadunaisky (University of Bu
enos Aires\, Argentina) as part of European Non-Associative Algebra Semina
r\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstr
act\nBy an ultra classical result\, the tensor product of a simple represe
ntation of gl(n\,C) and its defining representation decomposes as a direct
sum of simple representations without multiplicities. This means that for
each highest weight\, the space of highest weight vectors is one dimensio
nal. We will give an explicit construction of these highest weight vectors
\, and show that they arise from the action of certain elements in the env
eloping algebra of gl(n\,c)+gl(n\,C) on the tensor product. These elements
are independent of the simple representation we started with\, and in fac
t produce highest weight vectors in several other contexts. (Joint with Jo
anna Meinel from Bonn University)\n
LOCATION:https://us02web.zoom.us/j/7803181064
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
END:VCALENDAR