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

Abstract

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.

47 pages, 3 figures

References in corpus (2)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Endoscopic Classification of Representations: Inner Forms of Unitary Groups