Artículo
Simply connected lie subgroups of the unipotent Lie group of order 4
Autor/es | Benjumea Acevedo, Juan Carlos
Echarte Reula, Francisco Javier Núñez Valdés, Juan Tenorio Villalón, Ángel Francisco |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2006-04 |
Fecha de depósito | 2016-05-27 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Benjumea Acevedo, J.C., Echarte Reula, F.J., Nuñez Valdés, J. y Tenorio Villalón, Á.F. (2006). Simply connected lie subgroups of the unipotent Lie group of order 4. Soochow Journal of Mathematics, 32 (2), 181-199. |
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