Universal Enveloping Algebras and Quantum Groups

Given a semisimple Lie algebra over a field of characteristic zero, we can construct an integral basis for its universal enveloping algebra. Functionality for computing in these algebras is described in Section Universal Enveloping Algebras. Moreover, we provide functionality for computing in their quantised versions, which are called quantum groups. This is described in Chapter QUANTUM GROUPS.

V2.28, 13 July 2023