English

Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity

Representation Theory 2026-03-12 v4 Quantum Algebra

Abstract

We give a proof of Lusztig's conjectural multiplicity formula for non-restricted modules over the De Concini-Kac type quantized enveloping algebra at the \ell-th root of unity, where \ell is an odd prime power satisfying certain reasonable conditions.

Keywords

Cite

@article{arxiv.2109.03319,
  title  = {Quantized flag manifolds and non-restricted modules over quantum groups at roots of unity},
  author = {Toshiyuki Tanisaki},
  journal= {arXiv preprint arXiv:2109.03319},
  year   = {2026}
}

Comments

The contents of Appendix have been moved to the main sections of the text

R2 v1 2026-06-24T05:46:14.671Z