The Classification of Naturally Graded p-Filiform Leibniz Algebras
In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n − 4) Leibniz algebras is obtained. A splitting of the set of naturally graded Leibniz algebras into the families of Lie and non Lie Leibniz algebras by means of characteristic sequences (isomorphism inv...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2010 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/115110 |
| Acesso em linha: | https://hdl.handle.net/11441/115110 https://doi.org/10.1080/00927870903451900 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Characteristic sequence Leibniz algebra Lie algebras Natural gradation Nilpotence p-Filiformlicity |
| Resumo: | In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n − 4) Leibniz algebras is obtained. A splitting of the set of naturally graded Leibniz algebras into the families of Lie and non Lie Leibniz algebras by means of characteristic sequences (isomorphism invariants) is proved. |
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