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Representations of affine Hecke algebras and based rings of affine Weyl groups |
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| Authors: | Nanhua Xi |
| Institution: | 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. |
| Keywords: | Affine Hecke algebra based ring representation |
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