Title Algorithm to compute the maximal abelian dimension of Lie algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, J. , Tenorio, A. F.
External publication Si
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
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