On Truncation of irreducible representations of Chevalley groups

Details On Truncation of irreducible representations of Chevalley groups On Truncation of irreducible representations of Chevalley groups

2011-07-18

arxiv.org/abs/1107.3549v1

Mathematics

Number Theory

Scientific paper

We prove part of a higher rank analogue of the Mazur-Gouvea Conjecture. More precisely, let $\tilde{\bf G}$ be a connected, reductive ${\Bbb Q}$-split group and let $\Gamma$ be an arithmetic subgroup of $\tilde{\bf G}$. We show that the dimension of the slope $\alpha$ subspace of the cohomology of $\Gamma$ with values in an irreducible $\tilde{\bf G}$-module $L$ is bounded independently of $L$. The proof is elementary making only use of general principles of the representation theory of algebraic groups; it is based on consideration of certain truncations of irreducible representations of Chevalley groups.

Affiliated with

Also associated with

No associations

Rating

On Truncation of irreducible representations of Chevalley 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 On Truncation of irreducible representations of Chevalley groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Truncation of irreducible representations of Chevalley groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272599