English

Iwahori's Question for Affine Hecke Algebras

Quantum Algebra 2011-06-30 v2

Abstract

In this paper we show that an affine Hecke algebra HqH_q over complex numbers field with parameter q1q\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 A1A_1 and the order of qq is different from 11 and 13 if the root system has factors of type E8E_8.

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Cite

@article{arxiv.1106.2422,
  title  = {Iwahori's Question for Affine Hecke Algebras},
  author = {Toshiaki Shoji and Nanhua Xi},
  journal= {arXiv preprint arXiv:1106.2422},
  year   = {2011}
}

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26 pages