On semisimple l-modular Bernstein-blocks of a p-adic general linear group
Let Gn=GLn(F), where F is a non-archimedean local field with residue characteristic p. Our starting point is the Bernstein decomposition of the representation category of Gn over an algebraically closed field of positive characteristic ℓ≠p into blocks. In level zero, we associate to each block a re...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
14 June 2013
|
| In: |
Journal of number theory
Year: 2013, Volume: 133, Issue: 10, Pages: 3524-3548 |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2013.04.012 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jnt.2013.04.012 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0022314X13001327 
|
| Author Notes: | David-Alexandre Guiraud |
| Summary: | Let Gn=GLn(F), where F is a non-archimedean local field with residue characteristic p. Our starting point is the Bernstein decomposition of the representation category of Gn over an algebraically closed field of positive characteristic ℓ≠p into blocks. In level zero, we associate to each block a replacement for the Iwahori-Hecke algebra which provides a Morita equivalence as in the complex case. Additionally, we explain how this gives rise to a description of an arbitrary Gn-block in terms of simple Gm-blocks (for m⩽n), parallelling the approach of Bushnell and Kutzko in the complex setting. |
|---|---|
| Item Description: | Gesehen am 16.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2013.04.012 |