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Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)
On the representation theory of the Drinfeld Double of the Fomin-Kirillov Algebra FK 3
(Springer, 2018-09-13)
Let D be the Drinfeld double of FK3#S3 . We have described the simple D-modules in Pogorelsky and Vay (Adv. Math. 301, 423-457, 2016). In the present work, we describe the indecomposable summands of the tensor products ...
Estructura de álgebra de Poisson de la cohomología de ciertas álgebras de Lie nilpotentes
(2022-07-29)
Si g es un álgebra de Lie, la cohomología H**(g) tiene una estructura de súper-álgebra de
Poisson con producto asociativo súper-conmutativo V y un súper-corchete de Lie {-,-} que se
compatibiliza con el producto \vee en ...
Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Matemática - PPGM, 2014-11-28)
In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...
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 ...
Subálgebras de álgebra de Lie de operadores pseudo-diferenciales matriciales cuánticos y representaciones de módulos de peso máximo cuasifinitos de subálgebras de tipo ortogonal y simpléticos
(2017)
En esta tesis caracterizamos los módulos irreducibles de peso máximo cuasifinitos de las sub\'algebras del álgebra de Lie de operadores pseudo-diferenciales matriciales cuánticos N x N.
En la primer parte, se presentan ...
Representation theory of MV-algebras
(Elsevier, 2010-01-15)
In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions ...