Universal Enveloping Algebras and Quantum Groups

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 [DRAFT] Universal Enveloping Algebras. Moreover, we provide functionality for computing in their quantised versions, which are called quantum groups. This is described in Chapter chap:quaGrps.