English

On tensor categories attached to cells in affine Weyl groups, III

Representation Theory 2007-10-29 v3

Abstract

We prove a weak version of Lusztig's conjecture on explicit description of the asymptotic Hecke algebras (both finite and affine), and explain its relation to Lusztig's classification of character sheaves.

Keywords

Cite

@article{arxiv.math/0605628,
  title  = {On tensor categories attached to cells in affine Weyl groups, III},
  author = {Roman Bezrukavnikov and Michael Finkelberg and Victor Ostrik},
  journal= {arXiv preprint arXiv:math/0605628},
  year   = {2007}
}

Comments

19 pages, mistake in Section 5.4 is corrected, other minor corrections; Appendix added

R2 v1 2026-07-22T17:36:26.984Z