Solvable Leibniz algebras with NFn⊕ F1m nilradical
All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we sh...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| 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:11441/94368 |
| Acceso en línea: | https://hdl.handle.net/11441/94368 https://doi.org/10.1515/math-2017-0115 |
| Access Level: | acceso abierto |
| Palabra clave: | Lie algebra Leibniz algebra Natural gradation Null-filiform algebra Filiform algebra Solvability Nilpotence Nilradical |
| Sumario: | All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ F1m as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and F1m are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid. |
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