#### Vol. 12, No. 5, 2018

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Représentations de réduction unipotente pour $\mathrm{SO}(2n+1)$, III: Exemples de fronts d'onde

### Jean-Loup Waldspurger

Vol. 12 (2018), No. 5, 1107–1171
##### Abstract

Soit $G$ un groupe $SO\left(2n+1\right)$ défini sur un corps $p$-adique. Nous calculons le front d’onde des représentations irréductibles anti-tempérées de $G\left(F\right)$ qui sont de réduction unipotente. Le front d’onde d’une telle représentation est l’orbite orthogonale duale à l’orbite symplectique qui intervient dans le paramètre d’Arthur de cette représentation.

Let $G$ be a group $SO\left(2n+1\right)$ defined over a $p$-adic field. We compute the wave front set of the antitempered irreducible representations of $G\left(F\right)$ which are of unipotent reduction. The wave front set of such representations is the orthogonal orbit dual to the symplectic orbit appearing in the Arthur’s parametrization of the representation.

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