English

Fronts d'onde des repr{\'e}sentations temp{\'e}r{\'e}es et de r{\'e}duction unipotente pour SO(2n + 1)

Representation Theory 2019-04-03 v1

Abstract

Let G be a special orthogonal group SO(2n+1) defined over a p-adic field F. Let π\pi be an admissible irreducible representation of G(F) which is tempered and of unipotent reduction. We prove that π\pi has a wave front set. In some particular cases, for instance if π\pi is of the discrete series, we give a method to compute this wave front set.

Keywords

Cite

@article{arxiv.1710.03514,
  title  = {Fronts d'onde des repr{\'e}sentations temp{\'e}r{\'e}es et de r{\'e}duction unipotente pour SO(2n + 1)},
  author = {Jean-Loup Waldspurger},
  journal= {arXiv preprint arXiv:1710.03514},
  year   = {2019}
}

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