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

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arxiv math/0605628 v3 pith:JS3HDAOJ submitted 2006-05-23 math.RT

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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  1. Idempotents, traces, and dimensions in Hecke categories

    math.RT 2025-07 conditional novelty 8.0 of 10

    The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.

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