Leibniz Algebras Associated to Extensions of sl 2
In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal generated by the squares of elements of a Leibniz algebra is irreducible over sl2 and...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114995 |
| Acceso en línea: | https://hdl.handle.net/11441/114995 https://doi.org/10.1080/00927872.2014.946139 |
| Access Level: | acceso abierto |
| Palabra clave: | Irreducible module Lie algebras Leibniz algebra Simple algebra Solvability |
| Sumario: | In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal generated by the squares of elements of a Leibniz algebra is irreducible over sl2 and when the dimension of the radical is equal to two. |
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