Irreducibility of theta lifting for unitary groups

Chenyan Wu

doi:10.1016/j.jnt.2013.04.014

Irreducibility of theta lifting for unitary groups

Chenyan Wu

School of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	3296-3318
Number of pages	23
Journal	Journal of Number Theory
Volume	133
Issue number	10
DOIs	https://doi.org/10.1016/j.jnt.2013.04.014
State	Published - Oct 2013

Keywords

First occurrence
Irreducibility of theta lift
Regularised Siegel-Weil formula

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10.1016/j.jnt.2013.04.014

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title = "Irreducibility of theta lifting for unitary groups",

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.",

keywords = "First occurrence, Irreducibility of theta lift, Regularised Siegel-Weil formula",

author = "Chenyan Wu",

year = "2013",

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KW - First occurrence

KW - Irreducibility of theta lift

KW - Regularised Siegel-Weil formula

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DO - 10.1016/j.jnt.2013.04.014

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SP - 3296

EP - 3318

JO - Journal of Number Theory

JF - Journal of Number Theory

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ER -

Irreducibility of theta lifting for unitary groups

Abstract

Keywords

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