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Classification of finite dimensional uniserial representations of conformal Galilei algebras
(American Institute of Physics, 2016-10)
With the aid of the 6j-symbol, we classify all uniserial modules of (inline-equation), where (inline-equation) is the Heisenberg Lie algebra of dimension 2n + 1.
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras
(2014)
We describe 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 depends ...
Free 2-step nilpotent Lie algebras and indecomposable representations
(Taylor & Francis, 2018-07)
Given an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V) = V⊕Λ2(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations ...
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 ...
Some combinatorial topics in representation theory of algebras and its applications
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-02)
This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems:
1. How is it possible ...
Álgebras biseriales, álgebras de grafos de Brauer y algunas de sus aplicaciones
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021-11)
El objetivo principal de este trabajo es estudiar las álgebras de configuración de Brauer. Para esto, se inicia por la exposición de aspectos básicos de la Teoría de representación de carcajes, luego se describen las ...