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The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We address two problems with the structure and representation theory of finite W-algebras associated with general linear Lie algebras. Finite W-algebras can be defined using either Kostant`s Whittaker modules or a quantum ...
Jacobian algebras with periodic module category and exponential growth
(Academic Press Inc Elsevier Science, 2016-03)
Recently it was proven by Geiss, Labardini-Fragoso and Schröer in [1] that every Jacobian algebra associated to a triangulation of a closed surface S with a collection of marked points M is tame and Ladkani proved in [2] ...
Ações parciais de grupos sobre álgebras : teoria de Galois e contexto de Morita
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
Graded cellular bases for Temperley-Lieb algebras of type A and B
(SPRINGER, 2014)
On Hopf algebras with triangular decomposition
(AMS, 2019-04)
In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf ...
Sur les degrés des bases de modules libres sur l’anneau de polynomes
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 1997-03)
Stable rank of down-up algebras
(Academic Press Inc Elsevier Science, 2019-05)
We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra A(α,β,γ) has a non-free, stably free right ideal. Further, we compute ...
Álgebra de Hopf trançada a partir de um par combinado de grupos
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2014-08-15)
Let (F,G, ◃, ▹) be a matched pair of finite groups and σ : F × F −→ (|×)G and
τ : G×G −→ (|×)F two 2-cocycles. In general, the bicrossed product R = |G ∗τ
σ |F
is not a bialgebra, neither a braided Hopf algebra. The ...
Induced Modules for Affine Lie Algebras
(NATL ACAD SCI UKRAINE, INST MATH, 2009)
We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
(European Mathematical Society, 2017-02)
Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the group is generated by the support of the ...