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 recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2009 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114992 |
| Acceso en línea: | https://hdl.handle.net/11441/114992 https://doi.org/10.1080/00207160701868278 |
| Access Level: | acceso abierto |
| Palabra clave: | Heisenberg algebras Lie algebras Lie superalgebras |
| Sumario: | 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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