On certain multiplicity one theorems

Details On certain multiplicity one theorems On certain multiplicity one theorems

2004-09-30

arxiv.org/abs/math/0410002v1

Israel J. Math. 153 (2006), 221-245

Mathematics

Representation Theory

Scientific paper

We prove several multiplicity one theorems in this paper. For k a local field not of characteristic two, and V a symplectic space over k, any irreducible admissible representation of the symplectic similitude group GSp(V) decomposes with multiplicity one when restricted to the symplectic group Sp(V). We prove the analogous result for GO(V) and O(V), where V is an orthogonal space over k. When k is non-archimedean, we prove the uniqueness of Fourier-Jacobi models for representations of GSp(4), and the existence of such models for supercuspidal representations of GSp(4).

Affiliated with

Also associated with

No associations

Rating

On certain multiplicity one theorems 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 certain multiplicity one theorems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On certain multiplicity one theorems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-140163