Abstract
We prove a weak version of Lusztig’s conjecture on explicit description of the asymptotic Hecke algebras (both finite and affine) related to monodromic sheaves on the base affine space (both finite and affine), and explain its relation to Lusztig’s classification of character sheaves.
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Bezrukavnikov, R., Finkelberg, M. & Ostrik, V. On tensor categories attached to cells in affine Weyl groups, III. Isr. J. Math. 170, 207–234 (2009). https://doi.org/10.1007/s11856-009-0026-9
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DOI: https://doi.org/10.1007/s11856-009-0026-9