English

Typical Irreducible Characters of Generalized Quantum Groups

Quantum Algebra 2019-11-01 v2

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.

Keywords

Cite

@article{arxiv.1909.08881,
  title  = {Typical Irreducible Characters of Generalized Quantum Groups},
  author = {Hiroyuki Yamane},
  journal= {arXiv preprint arXiv:1909.08881},
  year   = {2019}
}

Comments

28 pages

R2 v1 2026-06-23T11:20:03.120Z