Centre de Bernstein dual pour les groupes classiques

@article{Moussaoui2015CentreDB,
  title={Centre de Bernstein dual pour les groupes classiques},
  author={A. Moussaoui},
  journal={arXiv: Representation Theory},
  year={2015},
  pages={172-246}
}
  • A. Moussaoui
  • Published 2015
  • Mathematics
  • arXiv: Representation Theory
  • In this article, we consider the links between parabolic induction and the local Langlands correspondence. We enunciate a conjecture about the (enhanced) Langlands parameters of supercuspidal representation of split reductives $p$-adics groups. We are able to verify this in those known cases of the local Langlands correspondence for linear groups and classical groups. Furthermore, in the case of classical groups, we can construct the "cuspidal support" of an enhanced Langlands parameter and get… CONTINUE READING
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