On an algorithm to compute derivatives

Abstract

In this paper, we complete Jantzen's algorithm to compute the highest derivatives of irreducible representations of $p$-adic odd special orthogonal groups or symplectic groups. As an application, we give some examples of the Langlands data of the Aubert duals of irreducible representations, which are in the integral reducibility case.

35 pages

References in corpus (4)

• On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$
• Comparaison des paramètres de Langlands et des exposants à l'intérieur d'un paquet d'Arthur
• Paquets d'Arthur discrets pour un groupe classique p-adique
• A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$

Cited by in corpus (1)

• The explicit Zelevinsky-Aubert duality