Mathematics – Representation Theory
Scientific paper
2009-07-06
Mathematics
Representation Theory
This is my PhD thesis submitted to the Weizmann Institute of Science. It is based on the papers arxiv:0812.5063v3, arXiv:0808.
Scientific paper
This is my PhD thesis submitted to the Weizmann Institute of Science. It is based on the papers [AG08c], [AG08d], [AGRS07], [AGS08], [AGS09], [Aiz08] and [SZ08]. This thesis includes an introduction to Gelfand pairs and invariant distributions, a list of tools to work with invariant distributions oriented towards proving Gelfand property and a proof that the pair (GL(n+1,F),GL(n,F)) is a strong Gelfand pair. Namely, we prove that if $\pi$ is an irreducible admissible smooth representation of GL(n+1,F) and $\rho$ is an irreducible admissible smooth representation of GL(n,F) then $$dim Hom_{GL(n,F)}(\pi,\rho)\leq 1.$$
No associations
LandOfFree
Multiplicity One Theorems and Invariant Distributions 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 Multiplicity One Theorems and Invariant Distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicity One Theorems and Invariant Distributions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27550