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arxiv: math/0605628 · v3 · submitted 2006-05-23 · 🧮 math.RT

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

Roman Bezrukavnikov , Michael Finkelberg , Victor Ostrik This is my paper
classification 🧮 math.RT
keywords affinelusztigalgebrasasymptoticattachedcategoriescellscharacter
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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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