English

On tensor categories attached to cells in affine Weyl groups II

Representation Theory 2007-05-23 v1

Abstract

George Lusztig conjectured that asymptotic affine Hecke algebra of a simply connected group can be explicitly described in terms of convolution algebras. Main Theorem of this note (which is a continuation of RT/0010089) is a weak version of this Conjecture. This version is strong enough to reprove all previously known results (due to Nanhua Xi) in this direction, for example the case of type A~n\tilde A_n, see QA/0010159.

Keywords

Cite

@article{arxiv.math/0102220,
  title  = {On tensor categories attached to cells in affine Weyl groups II},
  author = {Roman Bezrukavnikov and Viktor Ostrik},
  journal= {arXiv preprint arXiv:math/0102220},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T16:37:31.390Z