English

Characters of integrable highest weight modules over a quantum group

Quantum Algebra 2016-09-27 v3 Representation Theory

Abstract

We show that the Weyl-Kac type character formula holds for the integrable highest weight modules over the quantized enveloping algebra of any symmetrizable Kac-Moody Lie algebra, when the parameter qq is not a root of unity.

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Cite

@article{arxiv.1506.00826,
  title  = {Characters of integrable highest weight modules over a quantum group},
  author = {Toshiyuki Tanisaki},
  journal= {arXiv preprint arXiv:1506.00826},
  year   = {2016}
}

Comments

18 pages

R2 v1 2026-06-22T09:45:41.734Z