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

Roman Bezrukavnikov, Michael Finkelberg, Victor Ostrik

math.RTarXiv:math/0605628

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.

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