Central extensions of filiform Zinbiel algebras
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null- filiform Zinbiel algebra is isomorphic to an (n+1)-dimensional null-filiform Zinbiel algebra. Mor...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114961 |
| Acceso en línea: | https://hdl.handle.net/11441/114961 https://doi.org/10.1080/03081087.2020.1764903 |
| Access Level: | acceso abierto |
| Palabra clave: | Zinbiel algebra filiform algebra algebraic classification central extension |
| Sumario: | In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of an n-dimensional null- filiform Zinbiel algebra is isomorphic to an (n+1)-dimensional null-filiform Zinbiel algebra. Moreover, we obtain all pairwise non isomorphic quasi-filiform Zinbiel algebras. |
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