CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
Si
COMPUTING
Article
Científica
1.033
0.82
01/06/2009
000266139400004
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.
Solvable Lie algebra; Maximal abelian dimension; Algorithm