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

Author(s): Nanhua Xi
Journal: J. Amer. Math. Soc. 20 (2007), 211-217.
MSC (2000): Primary 20C08
Posted: June 19, 2006
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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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Additional Information:

Nanhua Xi
Affiliation: Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
Email: nanhua@math.ac.cn

DOI: 10.1090/S0894-0347-06-00539-X
PII: S 0894-0347(06)00539-X
Keywords: Affine Hecke algebra, based ring, representation
Received by editor(s): February 10, 2005
Posted: June 19, 2006
Additional Notes: The author was partially supported by a fund of the 973 Program.
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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