Corpus ID: 119172567

Affine Hecke algebras for Langlands parameters

@article{Aubert2017AffineHA,
  title={Affine Hecke algebras for Langlands parameters},
  author={A. Aubert and A. Moussaoui and M. Solleveld},
  journal={arXiv: Representation Theory},
  year={2017}
}
  • A. Aubert, A. Moussaoui, M. Solleveld
  • Published 2017
  • Mathematics
  • arXiv: Representation Theory
  • It is well-known that affine Hecke algebras are very useful to describe the smooth representations of any connected reductive p-adic group G, in terms of the supercuspidal representations of its Levi subgroups. The goal of this paper is to create a similar role for affine Hecke algebras on the Galois side of the local Langlands correspondence. To every Bernstein component of enhanced Langlands parameters for G we canonically associate an affine Hecke algebra (possibly extended with a finite R… CONTINUE READING
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