Resolutions of tempered representations of reductive p-adic groups

Details Resolutions of tempered representations of reductive p-adic groups Resolutions of tempered representations of reductive p-adic groups

2012-03-06

arxiv.org/abs/1203.1237v1

Mathematics

Representation Theory

Scientific paper

Let G be a reductive group over a non-archimedean local field and let S(G) be its Schwartz algebra. We compare Ext-groups of tempered G-representations in several module categories: smooth G-representations, algebraic S(G)-modules, bornological S(G)-modules and an exact category of S(G)-modules on LF-spaces which contains all admissible S(G)-modules. We simplify the proofs of known comparison theorems for these Ext-groups, due to Meyer and Schneider-Zink. Our method is based on the Bruhat-Tits building of G and on analytic properties of the Schneider-Stuhler resolutions.

Affiliated with

Also associated with

No associations

Rating

Resolutions of tempered representations of reductive p-adic groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resolutions of tempered representations of reductive p-adic groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resolutions of tempered representations of reductive p-adic groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537704