arXiv Analytics

Sign in

arXiv:1610.07794 [math.RT]AbstractReferencesReviewsResources

On the non-vanishing of theta liftings of tempered representations of U(p,q)

Hiraku Atobe

Published 2016-10-25Version 1

In this paper, we give an explicit determination of the non-vanishing of the theta liftings for unitary dual pairs (U(p,q), U(r,s)). Assuming the local Gan-Gross-Prasad conjecture, we determine when theta lifts of tempered representations are nonzero in terms of the local Langlands correspondence.

Comments: 47 pages, 3 figures
Categories: math.RT, math.NT
Related articles: Most relevant | Search more
arXiv:1812.06607 [math.RT] (Published 2018-12-17)
Jacquet modules and local Langlands correspondence
arXiv:1204.0132 [math.RT] (Published 2012-03-31, updated 2012-05-10)
Genericity and contragredience in the local Langlands correspondence
arXiv:1307.0469 [math.RT] (Published 2013-07-01)
Rectifiers and the local Langlands correspondence: the unramified case

Links

Toolbox