Calculating the structure of a semisimple Lie algebra
The article presents several algorithms for finite-dimensional (semisimple) Lie algebras over a field of characteristic zero, which allows one to find a Cartan subalgebra; to decompose a semisimple Lie algebra into a direct sum of simple ideals; to obtain the type of a semisimple Lie algebra with rational structure constants. The last algorithm is new and based on a modular approach. The main assumption for these algorithms is that the Lie algebra is presented by a table of structure constants.
scientific article; zbMATH DE number 1025701