Representations of affine Hecke algebras and based rings of affine Weyl groups
Authors:
Nanhua Xi
Affiliation:
Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
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.