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arXiv · 1106.2422

Iwahori's Question for Affine Hecke Algebras

Toshiaki Shoji·Nanhua Xi
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Abstract

In this paper we show that an affine Hecke algebra $H_q$ over complex numbers field with parameter $q\ne 1$ 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 $A_1$ and the order of $q$ is different from 11 and 13 if the root system has factors of type $E_8$.

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Toshiaki Shoji, Nanhua Xi. 2011-06-29. Iwahori's Question for Affine Hecke Algebras. https://arxiv.org/abs/1106.2422

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