The local converse theorem for SO(2n+1) and applications

Details The local converse theorem for SO(2n+1) and applications The local converse theorem for SO(2n+1) and applications

2004-02-16

arxiv.org/abs/math/0402265v1

Ann. of Math. (2), Vol. 157(2003), no. 3, 743--806

Mathematics

Representation Theory

64 pages published version

Scientific paper

In this paper we characterize irreducible generic representations of $\SO_{2n+1}(k)$ where $k$ is a $p$-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of $\SO_{2n+1}({\Bbb A})$ (where ${\Bbb A}$ is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem);and prove the Local Langlands Reciprocity Conjecture for generic supercuspidal representations of $\SO_{2n+1}(k)$.

Affiliated with

Also associated with

No associations

Rating

The local converse theorem for SO(2n+1) and applications 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 The local converse theorem for SO(2n+1) and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local converse theorem for SO(2n+1) and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680721