On tensor categories attached to cells in affine Weyl groups II
Roman Bezrukavnikov, Viktor Ostrik
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 An, see QA/0010159.
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