Heisenberg superalgebras
Heisenberg algebras are the only Lie algebras (g, [, ]) which verify [g, g] = Z(g) and dim(Z(g)) = 1, where Z denotes the center of the algebra. We classify nilpotent Lie superalgebras that verify the same algebraic conditions in arbitrary finite dimension.We study the geometrical properties with th...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2009 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositório: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114992 |
| Acesso em linha: | https://hdl.handle.net/11441/114992 https://doi.org/10.1080/00207160701868278 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Heisenberg algebras Lie algebras Lie superalgebras |
| Resumo: | Heisenberg algebras are the only Lie algebras (g, [, ]) which verify [g, g] = Z(g) and dim(Z(g)) = 1, where Z denotes the center of the algebra. We classify nilpotent Lie superalgebras that verify the same algebraic conditions in arbitrary finite dimension.We study the geometrical properties with the aid of the software Mathematica. |
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