| Título |
Combinatorial structures and Lie algebras of upper triangular matrices |
| Autores |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| Publicación externa |
Si |
| Medio |
Appl. Math. Lett. |
| Alcance |
Article |
| Naturaleza |
Científica |
| Cuartil JCR |
1 |
| Cuartil SJR |
1 |
| Impacto JCR |
1.50100 |
| Impacto SJR |
1.28400 |
| Fecha de publicacion |
01/03/2012 |
| ISI |
000298201700054 |
| DOI |
10.1016/j.aml.2011.09.049 |
| Abstract |
This work shows how to associate the Lie algebra h(n), of upper triangular matrices, with a specific combinatorial structure of dimension 2, for n is an element of N. The properties of this structure are analyzed and characterized. Additionally, the results obtained here are applied to obtain faithful representations of solvable Lie algebras. (C) 2011 Elsevier Ltd. All rights reserved. |
| Palabras clave |
Combinatorial structures; Maximal abelian dimension; Solvable Lie algebras; Abelian subalgebras; Faithful matrix representation |
| Miembros de la Universidad Loyola |
|
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