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On tensor categories attached to cells in affine Weyl groups II

Roman Bezrukavnikov·Viktor Ostrik
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Abstract

George Lusztig conjectured that asymptotic affine Hecke algebra of a simply connected group can be explicitly described in terms of convolution algebras. Main Theorem of this note (which is a continuation of RT/0010089) is a weak version of this Conjecture. This version is strong enough to reprove all previously known results (due to Nanhua Xi) in this direction, for example the case of type $\tilde A_n$, see QA/0010159.

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Roman Bezrukavnikov, Viktor Ostrik. 2001-02-28. On tensor categories attached to cells in affine Weyl groups II. https://arxiv.org/abs/math/0102220

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