Espaces FC(g(F)) et endoscopie - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Espaces FC(g(F)) et endoscopie

Résumé

Let F be a p-adic field and let G be a connected reductive group defined over F. We assume p is big. Denote g the Lie algebra of G. We normalize suitably a Fourier-transform on the space of smooth functions with compact support on g(F), which to f asociates f^. In a preceeding paper, we have defined the space FC(g(F)) of functions f such that the orbital integrals of f and of f^ are 0 for each element of g(F) which is not topologically nilpotent. These spaces are compatible with endoscopic transfer. We assume here that G is absolutely quasi-simple and simply connected. We define a decomposition of the space FC(g(F)) in a direct sum of subspaces such that the endoscopic transfer becomes (more or less) clear on each subspace. In particular, if G is quasi-split, we describe the subspace of "stable" elements in FC(g(F)).
Fichier principal
Vignette du fichier
espacesFC-26012020.pdf (884.7 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02457568 , version 1 (28-01-2020)

Identifiants

Citer

Jean-Loup Waldspurger, J.-L Waldspurger. Espaces FC(g(F)) et endoscopie. 2020. ⟨hal-02457568⟩
26 Consultations
20 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More