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

Mathematics – Representation Theory

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

Scientific paper

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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