Some cohomologically rigid solvable Leibniz algebras
In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique and centerless. Also it is proved that the first an...
| 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:11441/115106 |
| Acceso en línea: | https://hdl.handle.net/11441/115106 https://doi.org/10.1016/j.jalgebra.2020.05.033 |
| Access Level: | acceso abierto |
| Palabra clave: | Lie algebras Leibniz algebra Nilpotent radical Characteristic sequence Solvable algebra Derivations 2-Cocycle Rigid algebra |
| Sumario: | In this paper we describe solvable Leibniz algebras whose quotient algebra by one-dimensional ideal is a Lie algebra with rank equal to the length of the characteristic sequence of its nilpotent radical. We prove that such Leibniz algebra is unique and centerless. Also it is proved that the first and the second cohomology groups of the algebra with coefficients in the adjoint representation is trivial. |
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