An algorithm for the decomposition of semisimple Lie algebras
We consider the problem of decomposing a semisimple Lie algebra defined over a field 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.
algorithm lie algebra cartan subalgebra direct sum decomposition