Representations of Affine Hecke Algebras and Based Rings of Affine Weyl Groups

@inproceedings{NANHUA2006RepresentationsOA,
  title={Representations of Affine Hecke Algebras and Based Rings of Affine Weyl Groups},
  author={XI NANHUA},
  year={2006}
}
  • XI NANHUA
  • Published 2006
It is known that an interesting part of the study of the representation theory of p-adic groups can be reduced to the study of the representation theory of affine Hecke algebras [B, V]. Let (W, S) be an extended affine Weyl group and Hk,q0 the corresponding Hecke algebra over a field k with a nonzero parameter q0 ∈ k. When k is the complex numbers field and q0 is not a root of unity, a classification of simple representations of Hk,q0 was established in [KL2] (Deligne-LanglandsLusztig… CONTINUE READING
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