Representations of affine Hecke algebras and based rings of affine Weyl groups

Xi, Nanhua

doi:10.1090/S0894-0347-06-00539-X

Representations of affine Hecke algebras and based rings of affine Weyl groups

Author: Nanhua Xi
Journal: J. Amer. Math. Soc. 20 (2007), 211-217
MSC (2000): Primary 20C08
DOI: https://doi.org/10.1090/S0894-0347-06-00539-X
Published electronically: June 19, 2006
MathSciNet review: 2257401
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Abstract: In this paper we show that the Deligne-Langlands-Lusztig classification of simple representations of an affine Hecke algebra remains valid if the parameter is not a root of the corresponding Poincaré polynomial. This verifies a conjecture of Lusztig proposed in 1989.

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