Artículo
Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2)
Autor/es | Camacho Santana, Luisa María
Gómez Vidal, S. Omirov, Bakhrom Abdazovich |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2011 |
Fecha de depósito | 2019-11-11 |
Publicado en |
|
Resumen | From the theory of finite dimensional Lie algebras it is known that
every finite dimensional Lie algebra is decomposed into a semidirect sum of
semisimple subalgebra and solvable radical. Moreover, due to work of ... From the theory of finite dimensional Lie algebras it is known that every finite dimensional Lie algebra is decomposed into a semidirect sum of semisimple subalgebra and solvable radical. Moreover, due to work of Mal’cev the study of solvable Lie algebras is reduced to the study of nilpotent ones. For the finite dimensional Leibniz algebras the analogues of the mentioned results are not proved yet. In order to get some idea how to establish the results we examine the Leibniz algebra for which the quotient algebra with respect to the ideal generated by squares elements of the algebra (denoted by I) is a semidirect sum of semisimple Lie algebra and the maximal solvable ideal. In this paper the class of complex Leibniz algebras, for which quotient algebras by the ideal I are isomorphic to the semidirect sum of the algebra sl2 and two-dimensional solvable ideal R, are described. |
Cita | Camacho Santana, L.M., Gómez Vidal, S. y Omirov, B.A. (2011). Leibniz algebras with associated Lie algebras sl_2\dot{+} R (dim R=2). ArXiv.org, arXiv:1111.4631 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Leibniz algebras with associated ... | 154.1Kb | [PDF] | Ver/ | |
Este registro aparece en las siguientes colecciones
Excepto si se señala otra cosa, la licencia del ítem se describe como: Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Items relacionados
Enseñando items relacionados por título, autor, creador y materia.
-
Artículo
A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Wiley, 2016)The set of Mn(K) of n-dimensional Malcev magma algebras over a finite field can be identified with algebraic sets defined ...
-
Artículo
Algebraic computation of genetic patterns related to three-dimensional evolution algebras
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan (Elsevier, 2018-02-15)The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any ...
-
Artículo
Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
Muro Jiménez, Fernando (Springer, 2004)In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity ...