MAGMA Computational Algebra System

Quantum Groups and Universal Enveloping Algebras

Given a semisimple Lie algebra over a field of characteristic zero, we can construct an integral basis for its universal enveloping algebra. We provide functionality for computing in these algebras, and in their quantised versions, which are called quantum groups. This is described in Chapters UNIVERSAL ENVELOPING ALGEBRAS and UNIVERSAL ENVELOPING ALGEBRAS QUANTUM GROUPS.