On tensor categories attached to cells in affine Weyl groups II

Details On tensor categories attached to cells in affine Weyl groups II On tensor categories attached to cells in affine Weyl groups II

2001-02-28

arxiv.org/abs/math/0102220v1

Mathematics

Representation Theory

14 pages

Scientific paper

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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