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 (2)

• 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

Cited by in corpus (1)

• The explicit Zelevinsky-Aubert duality