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} }
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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