Typical Irreducible Characters of Generalized Quantum Groups

Abstract

We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

28 pages

References in corpus (2)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• Natural Elements of Center of Generalized Quantum Groups