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

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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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Authors and Affiliations

  1. Department of Mathematics, MIT, Cambridge, MA, 02139, USA

    Roman Bezrukavnikov

  2. Department of Mathematics rm. 517 IMU, IITP and State University Higher School of Economy, 20 Myasnitskaya St, Moscow, 101000, Russia

    Michael Finkelberg

  3. Department of Mathematics, 1222 University of Oregon, Eugene, OR, 97403-1222, USA

    Victor Ostrik

Authors
  1. Roman Bezrukavnikov
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  2. Michael Finkelberg
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  3. Victor Ostrik
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Correspondence to Roman Bezrukavnikov.

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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

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