Représentations de Réduction Unipotente pour SO(2n+1), I: une Involution
Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 381-426
Voir la notice de l'article provenant de la source Heldermann Verlag
We consider a group SO(2n+1) over a p-adic field and tempered irreducible representations of this group, of unipotent reduction. We use the construction due to Lusztig of these representations. In an old paper with Moeglin, we have defined an involution in the complex vector space generated by those representations which are elliptic. It is strongly related to another involution defined by Lusztig for finite groups. We give a new definition of our involution and we prove it commutes, in some sense, with Jacquet functor.
Classification :
22E50
Mots-clés : Representations of unipotent reduction, endoscopy
Mots-clés : Representations of unipotent reduction, endoscopy
Affiliations des auteurs :
Jean-Loup Waldspurger 1
Jean-Loup Waldspurger. Représentations de Réduction Unipotente pour SO(2n+1), I: une Involution. Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 381-426. http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a4/
@article{JOLT_2018_28_2_a4,
author = {Jean-Loup Waldspurger},
title = {Repr\'esentations de {R\'eduction} {Unipotente} pour {SO(2n+1),} {I:} une {Involution}},
journal = {Journal of Lie Theory},
pages = {381--426},
year = {2018},
volume = {28},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a4/}
}