Simply connected lie subgroups of the unipotent Lie group of order 4
In this paper we obtain simply connected Lie subgroups (up to isomorphism) of the Lie group G4 of upper triangular matrices of order 4 having “1” in its main diagonal. To do it, we determine Lie subalgebras of the Lie algebra g4 associated with G4. We find that there exist 4 simply connected subgrou...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41617 |
| Acesso em linha: | http://hdl.handle.net/11441/41617 |
| Access Level: | acceso abierto |
| Palavra-chave: | simply connected Lie subgroup nilpotent Lie algebra abelian Lie algebra unipotent matrices |
| Resumo: | In this paper we obtain simply connected Lie subgroups (up to isomorphism) of the Lie group G4 of upper triangular matrices of order 4 having “1” in its main diagonal. To do it, we determine Lie subalgebras of the Lie algebra g4 associated with G4. We find that there exist 4 simply connected subgroups of G4 for dimension less than 4, 3 for dimension 4 and 4 for dimension 5. We also prove that the rest of groups associated with Lie algebras of these dimensions are not representable as subgroups of G4. |
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