Représentations de réduction unipotente pour SO(2n+1), III: exemples de fronts d'onde

Abstract

Let G be a group SO(2n+1) defined over a p-adic field. We compute the wave front set of the anti-tempered irreducible representations of G(F) which are of unipotent reduction. It is the orthogonal orbit dual to the symplectic orbit appearing in the Arthur's parametrization of the representation.

in French

Cited by in corpus (2)

• Fronts d'onde des repr{é}sentations temp{é}r{é}es et de r{é}duction unipotente pour SO(2n + 1)
• On two definitions of wave-front sets for $p$-adic groups