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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
MathSciNet review:
2257401
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Additional information
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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