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 be an admissible irreducible representation of G(F) which is tempered and of unipotent reduction. We prove that has a wave front set. In some particular cases, for instance if 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}
}
Comments
in French