Skip to Main content Skip to Navigation
Theses

Décomposition en blocs de la catégorie des représentations l-modulaires lisses et de longueur finie de GLm(D)

Abstract : Let F be a nonarchimedean locally compact field of residue characteristic p and let D be a finite dimensional central division algebra over F. Let m be a stricly positive integer. We study the category R of smooth finite length representations of Glm(D) on a field of characteristic l, with l not equal to p, and the aim is to find a block decomposition of this category.For this, we find a condition involving supercuspidal support for two representations in R to have a non trivial extension space, and we use this to decompose the category R. At first, we work only with supercuspidal level 0 representations, then we deduce the general case.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-03034421
Contributor : Abes Star :  Contact
Submitted on : Tuesday, December 1, 2020 - 5:11:09 PM
Last modification on : Thursday, December 3, 2020 - 3:32:28 AM

File

79540_DREVON_2020_archivage.pd...
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-03034421, version 1

Collections

Citation

Bastien Drevon. Décomposition en blocs de la catégorie des représentations l-modulaires lisses et de longueur finie de GLm(D). Théorie des groupes [math.GR]. Université Paris-Saclay, 2020. Français. ⟨NNT : 2020UPASM002⟩. ⟨tel-03034421⟩

Share

Metrics

Record views

92

Files downloads

29