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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 ...
Teorema del peso máximo
(2011-09-05)
Este trabajo es sobre la clasificación, módulo equivalencia, de las representaciones irreducibles de dimensión finita de álgebras de Lie complejas semisimples de dimensión finita.
El Teorema del peso máximo describe a las ...
Recurrence relations of special functions and group representations
(Revista Mexicana de Física, 2009)
Bases de módulos de Weyl locaisBasis of local Weyl modules
([s.n.], 2015)
Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W
(Academic Press Inc Elsevier Science, 2017-11)
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. The classification is based on a bijective correspondence between the continuous ...
Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
(World Scientific, 2019-02)
In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous ...
Jordan-Chevalley decomposition in lie algebras
(Canadian Mathematical Soc, 2019-06)
We prove that if is a solvable Lie algebra of matrices over a field of characteristic § and A∈s, then the semisimple and nilpotent summands of the Jordan-Chevalley decomposition of A belong to s if and only if there exist ...
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 ...
Weight multiplicity formulas for bivariate representations of classical Lie algebras
(American Institute of Physics, 2018-08-27)
A bivariate representation of a complex simple Lie algebra is an irreducible representation whose highest weight is given by a combination of the first two fundamental weights. For a complex classical Lie algebra, we ...