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 |
1.033 |
SJR Impact |
0.82 |
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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