A GAP Package for Computing with Real Semisimple Lie Algebras

摘要

We report on the functionality and the underlying theory of the GAP package CoReLG (Computing with Real Lie Groups); it provides functionality to construct real semisimple Lie algebras, to check for isomorphisms, and to compute Cartan decompositions, Cartan subalge-bras, and nilpotent orbits.