On Leibniz Superalgebras with Even Part Corresponding to sl2
In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic to sl2.We classify these Leibniz superalgebras in several cases with arbitrary d...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/115035 |
| Acesso em linha: | https://hdl.handle.net/11441/115035 https://doi.org/10.1007/s10468-020-09968-8 |
| Access Level: | acceso abierto |
| Palavra-chave: | Leibniz superalgebra Lie superalgebras Irreducible module Simple Leibniz algebra |
| Resumo: | In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic to sl2.We classify these Leibniz superalgebras in several cases with arbitrary dimensions in which the odd part is essentially a Leibniz irreducible (sl2 + I)-module or a finite direct sum of them. |
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