The cohomology of filiform Lie algebras of maximal rank
We describe the structure of the cohomology of the filiform Lie algebras Ln and Qn as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal h of codimension 1 for which the structure of its cohomology under the action of t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31952 |
| Acceso en línea: | http://hdl.handle.net/11336/31952 |
| Access Level: | acceso abierto |
| Palabra clave: | Lie Algebra Cohomology Filiform Lie Algebras Torus of Derivations Module Structure https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We describe the structure of the cohomology of the filiform Lie algebras Ln and Qn as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal h of codimension 1 for which the structure of its cohomology under the action of the Levi factor of the algebra of derivations of h is known. |
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