Titre :

Parabolic induction and extensions

Auteur(s) :

Hauseux, Julien [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Algebra & Number Theory

Pagination :

779-831

Éditeur :

Mathematical Sciences Publishers

Date de publication :

2018

ISSN :

1937-0652

Discipline(s) HAL :

Mathématiques [math]/Théorie des représentations [math.RT]
Mathématiques [math]/Théorie des nombres [math.NT]

Résumé en anglais : [en]

Let $G$ be a $p$-adic reductive group.We determine the extensions between admissible smooth mod $p$ representations of $G$ parabolically induced from supersingular representations of Levi subgroups of $G$, in terms of ...
Lire la suite >Let $G$ be a $p$-adic reductive group.We determine the extensions between admissible smooth mod $p$ representations of $G$ parabolically induced from supersingular representations of Levi subgroups of $G$, in terms of extensions between representations of Levi subgroups of $G$ and parabolic induction.This proves for the most part a conjecture formulated by the author in a previous article and gives some strong evidence for the remaining part.In order to do so, we use the derived functors of the left and right adjoints of the parabolic induction functor, both related to Emerton's $\delta$-functor of derived ordinary parts.We compute the latter on parabolically induced representations of $G$ by pushing to their limits the methods initiated and expanded by the author in previous articles.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL