Iwahori's Question for Affine Hecke Algebras
Abstract
In this paper we show that an affine Hecke algebra Hq over complex numbers field with parameter q 1 is not isomorphic to the group algebra over complex numbers field of the corresponding extend affine Weyl group if the corresponding root system has no factors of type A1 and the order of q is different from 11 and 13 if the root system has factors of type E8.
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