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Criterios de Cartan para la clasificación de Álgebras de Lie solubles y semisimples
(2018-12)
El presente trabajo tiene como objetivo clasificar las álgebras de Lie solubles y semisimples
a través de la forma de Cartan-Killing.
Una álgebra de Lie es un espacio vectorial g dotado de un producto [; ] el cual ...
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 ...
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 ...
Non-Nilpotent Lie Algebras with Non-Singular Derivations
(Universidade Federal de Minas GeraisUFMG, 2018-03-08)
Let L be a Lie algebra and (..) be a derivation of L. The derivation (..) is non-singular if it is injective as linear transformation. By a well-known result of N. Jacobson, a Lie algebra of finite dimension over a field ...
Álgebras de Lie e aplicações à sistemas alternantes
(Universidade Estadual Paulista (UNESP), 2014)
Deformaciones y degeneraciones de álgebras de Lie
(2014)
El objeto de estudio de esta tesis es la variedad algebraica Ln, de todas las álgebras de Lie complejas de dimensión n y la subvariedad Nn de todas las álgebras de Lie nilpotentes en Ln. Para entender estas variedades se ...