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QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
(Unión Matemática Argentina, 2017-03)
In this paper we classify the irreducible quasifinite highest weight modules over the orthogonaland syplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudodifferential operators. We also realize ...
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras
(Canadian Mathematical Soc, 2014-12)
We describe of all finite dimensional uniserial representations of a commutative associative (resp. abelian Lie) algebra over a perfect (resp. sufficiently large perfect) field. In the Lie case the size of the field ...
Annihilators of simple integrable weight weight (∞)-modules
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2019)
Seja g = sl (∞). Calculamos os aniquiladores de uma classe de módulos g de peso integráveis simples com espaços de peso de dimensão finita. É uma afirmação de I. Dimitrov, que esta classe esgota todos os módulos G de peso ...
Álgebras bisseriais especiaisSpecial biserial algebras
(Universidade Federal de ViçosaBRÁlgebra; Análise; Geometria e Topologia; Matemática AplicadaMestrado em MatemáticaUFV, 2015)
Character Formulae And A Realization Of Tilting Modules For Sl(2)[t]
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
On the representation theory of an algebra of braids and ties
(SPRINGER, 2012)
On unrolled Hopf algebras
(World Scientific, 2018-02)
We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra B(V) of a Yetter-Drinfeld module V on which a Lie algebra g acts by biderivations. As a special case, we find unrolled ...
Aportes a la clasificación de álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita
(2020)
Esta tesis es un aporte a la clasificación de las álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita sobre cuerpos algebraicamente cerrados y de característica cero. En una primera instancia nos concentramos ...
On Demazure And Local Weyl Modules For Affine Hyperalgebras
(PACIFIC JOURNAL MATHEMATICSBERKELEY, 2015)