| Título | Algorithm to compute the maximal abelian dimension of Lie algebras |
|---|---|
| Autores | CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| Publicación externa | Si |
| Medio | COMPUTING |
| Alcance | Article |
| Naturaleza | Científica |
| Cuartil JCR | 3 |
| Cuartil SJR | 1 |
| Impacto JCR | 1.033 |
| Impacto SJR | 0.82 |
| Fecha de publicacion | 01/06/2009 |
| ISI | 000266139400004 |
| DOI | 10.1007/s00607-009-0029-8 |
| Abstract | In this paper, the maximal abelian dimension is computationally obtained for an arbitrary finite-dimensional Lie algebra, defined by its nonzero brackets. More concretely, we describe and implement an algorithm which computes such a dimension by running it in the symbolic computation package MAPLE. Finally, we also show a computational study related to this implementation, regarding both the computing time and the memory used. |
| Palabras clave | Solvable Lie algebra; Maximal abelian dimension; Algorithm |
| Miembros de la Universidad Loyola |