Automorphisms of non-singular nilpotent Lie algebras
For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional group of dilations. Maximality of some automorphisms groups of n follows...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/25251 |
| Acceso en línea: | http://hdl.handle.net/11336/25251 |
| Access Level: | acceso abierto |
| Palabra clave: | Automerphisms Nilpotent Lie Algebras https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional group of dilations. Maximality of some automorphisms groups of n follows and is related to how close is n to being of Heisenberg type. For example, at least when the dimension of the center is two, dim Aut(n) is maximal if and only if n is of Heisenberg type. The connection with fat distributions is discussed. |
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