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

2 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

Publisher link

10.1016/j.jnt.2013.04.014

Find It

Find It at U of M Libraries

Cite this

@article{1a88aac5581749d0823d7f93981d30af,

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",

month = oct,

doi = "10.1016/j.jnt.2013.04.014",

language = "English (US)",

volume = "133",

pages = "3296--3318",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - Irreducibility of theta lifting for unitary groups

AU - Wu, Chenyan

PY - 2013/10

Y1 - 2013/10

N2 - 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.

AB - 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.

KW - First occurrence

KW - Irreducibility of theta lift

KW - Regularised Siegel-Weil formula

UR - http://www.scopus.com/inward/record.url?scp=84878965233&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878965233&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2013.04.014

DO - 10.1016/j.jnt.2013.04.014

M3 - Article

AN - SCOPUS:84878965233

SN - 0022-314X

VL - 133

SP - 3296

EP - 3318

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 10

ER -

Irreducibility of theta lifting for unitary groups

Abstract

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this