Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorp...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/89935 |
| Acceso en línea: | https://hdl.handle.net/11441/89935 https://doi.org/10.1016/j.jalgebra.2017.02.003 |
| Access Level: | acceso abierto |
| Palabra clave: | Leibniz algebra Filiform algebra Quasi-filiform algebra Natural gradation Characteristic sequence 2-cocycles Central extension |
| Sumario: | In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorphism. It is shown that k-dimensional central extensions (k 5) of these algebras are split. |
|---|