Compatibility of the Theta correspondence with the Whittaker functors

Details Compatibility of the Theta correspondence with the Whittaker functors Compatibility of the Theta correspondence with the Whittaker functors

2009-01-31

arxiv.org/abs/0902.0051v2

Mathematics

Representation Theory

13 pages, final version to appear in Bulletin SMF

Scientific paper

We prove that the global geometric theta-lifting functor for the pair (H, G)
is compatible with the Whittaker normalization, where (H,G) is one of the pairs
(SO_{2n}, Sp_{2n}), (Sp_{2n}, SO_{2n+2}) or (GL_{n},GL_{n+1}). That is, the
composition of the theta-lifting functor from H to G with the Whittaker functor
for G is isomorphic to the Whittaker functor for H.

Affiliated with

Also associated with

No associations

Rating

Compatibility of the Theta correspondence with the Whittaker functors 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 Compatibility of the Theta correspondence with the Whittaker functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compatibility of the Theta correspondence with the Whittaker functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663125