Residually solvable extensions of pro-nilpotent Leibniz superalgebras
Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/134955 |
| Acceso en línea: | https://hdl.handle.net/11441/134955 https://doi.org/10.1016/j.geomphys.2021.104414 |
| Access Level: | acceso abierto |
| Palabra clave: | Solvable Lie superalgebras Solvable Leibniz superalgebras Residually solvable Leibniz algebra Pro-nilpotent superalgebra Superderivation Residually nilpotent superderivation |
| Sumario: | Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the finite-dimensional case obtaining new and important results. Additionally, we fully determine the residually solvable Lie and Leibniz superalgebras with maximal codimension of pro-nilpotent ideals the model filiform Lie and null filiform Leibniz superalgebras, respectively. Moreover, we prove that the residually solvable superalgebras obtained are complete. |
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