Publicação
On the structure of split involutive Lie algebras
| Resumo: | We study the structure of arbitrary split involutive Lie algebras. We show that any of such algebras L is of the form L={\mathcal U} +\sum_{j}I_{j} with U a subspace of the involutive abelian Lie subalgebra H and any I_j a well described involutive ideal of L satisfying [I_j,I_k]=0 if j\neq k. Under certain conditions, the simplicity of L is characterized and it is shown that L is the direct sum of the family of its minimal involutive ideals, each one being a simple split involutive Lie algebra. |
|---|---|
| Autores principais: | Calderón Martín, Antonio J. |
| Outros Autores: | Sánchez Delgado, José M. |
| Ano: | 2014 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso embargado |
| Instituição associada: | Universidade de Coimbra |
| Idioma: | inglês |
| Origem: | Estudo Geral - Universidade de Coimbra |
| Resumo: | We study the structure of arbitrary split involutive Lie algebras. We show that any of such algebras L is of the form L={\mathcal U} +\sum_{j}I_{j} with U a subspace of the involutive abelian Lie subalgebra H and any I_j a well described involutive ideal of L satisfying [I_j,I_k]=0 if j\neq k. Under certain conditions, the simplicity of L is characterized and it is shown that L is the direct sum of the family of its minimal involutive ideals, each one being a simple split involutive Lie algebra. |
|---|