THETA LIFTING for LOOP GROUPS

Dongwen Liu; Yongchang Zhu

doi:10.1215/00127094-2022-0049

THETA LIFTING for LOOP GROUPS

Dongwen Liu, Yongchang Zhu

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this article, we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application, we obtain cusp forms on loop groups, and we give the first example where the cusp forms constructed using this method are nonvanishing.

Original language	English
Pages (from-to)	2799-2840
Number of pages	42
Journal	Duke Mathematical Journal
Volume	171
Issue number	13
DOIs	https://doi.org/10.1215/00127094-2022-0049
Publication status	Published - 15 Sept 2022

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© 2023 Sharif University of Technology. All rights reserved.

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title = "THETA LIFTING for LOOP GROUPS",

abstract = "In this article, we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application, we obtain cusp forms on loop groups, and we give the first example where the cusp forms constructed using this method are nonvanishing.",

author = "Dongwen Liu and Yongchang Zhu",

year = "2022",

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doi = "10.1215/00127094-2022-0049",

language = "English",

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T1 - THETA LIFTING for LOOP GROUPS

AU - Liu, Dongwen

AU - Zhu, Yongchang

PY - 2022/9/15

Y1 - 2022/9/15

N2 - In this article, we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application, we obtain cusp forms on loop groups, and we give the first example where the cusp forms constructed using this method are nonvanishing.

AB - In this article, we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application, we obtain cusp forms on loop groups, and we give the first example where the cusp forms constructed using this method are nonvanishing.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000881581900004

UR - https://openalex.org/W4289693863

UR - https://www.scopus.com/pages/publications/85159205416

U2 - 10.1215/00127094-2022-0049

DO - 10.1215/00127094-2022-0049

M3 - Journal Article

SN - 0012-7094

VL - 171

SP - 2799

EP - 2840

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 13

ER -

THETA LIFTING for LOOP GROUPS

Abstract

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