Irreducibility of theta lifting for unitary groups

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.

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Bibliographic Details
Published in	Journal of number theory Vol. 133; no. 10; pp. 3296 - 3318
Main Author	Wu, Chenyan
Format	Journal Article
Language	English
Published	Elsevier Inc 01.10.2013
Subjects	First occurrence Irreducibility of theta lift Regularised Siegel–Weil formula First occurrence Regularised Siegel–Weil formula Irreducibility of theta lift
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Summary:	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.
ISSN:	0022-314X 1096-1658
DOI:	10.1016/j.jnt.2013.04.014