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arXiv · 1710.03514

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

Jean-Loup Waldspurger
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Abstract

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

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Jean-Loup Waldspurger. 2017-10-10. Fronts d'onde des repr{é}sentations temp{é}r{é}es et de r{é}duction unipotente pour SO(2n + 1). https://doi.org/10.2140/tunis.2020.2.43

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