Irreducibility of Theta Lifting for Unitary Groups
arXiv:1409.0770 · doi:10.1016/j.jnt.2013.04.014
Abstract
This article shows that for unitary dual reductive pairs the first occurrence of theta lift of an irreducible cuspidal automorphic representation is irreducible. It also proves a refined tower property for theta lifts and the involutive property for twisted theta lifts.
Journal of Number Theory 2013