| Title |
Algorithm to compute the maximal abelian dimension of Lie algebras |
| Authors |
CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F. |
| External publication |
Si |
| Means |
COMPUTING |
| Scope |
Article |
| Nature |
Científica |
| JCR Quartile |
3 |
| SJR Quartile |
1 |
| JCR Impact |
1.03300 |
| SJR Impact |
0.82000 |
| Publication date |
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. |
| Keywords |
Solvable Lie algebra; Maximal abelian dimension; Algorithm |
| Universidad Loyola members |
|
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