An Algorithm for the Decomposition of Semisimple Lie Algebras
Publication date
1997-01-01
Authors
Graaf, W.A. de
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Abstract
We consider the problem of decomposing a semisimple Lie algebra dened over a eld of characteristic zero as a direct sum of its simple ideals The method is based on the decomposition of the action of a Cartan subalgebra An implementation of the algorithm in the system ELIAS is discussed at the end of the paper
Keywords
Lie algebra, Cartan subalgebra, Direct sum decomposition, Algorithm