Rankin-Selberg integrals for principal series representations of GL(n)

Dongwen Liu; Feng Su; Binyong Sun

doi:10.1515/forum-2020-0194

Rankin-Selberg integrals for principal series representations of GL(n)

Dongwen Liu
, Feng Su^*
, Binyong Sun

^*Corresponding author for this work

Department of Pure Mathematics

Zhejiang University

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

1 Citation (Scopus)

Abstract

We prove that the local Rankin-Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin-Selberg subgroups, up to certain constants given by the local gamma factors.

Original language	English
Pages (from-to)	1549-1559
Number of pages	11
Journal	Forum Mathematicum
Volume	33
Issue number	6
DOIs	https://doi.org/10.1515/forum-2020-0194
Publication status	Published - 1 Nov 2021

Keywords

Local Rankin-Selberg period
Rankin-Selberg subgroup

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title = "Rankin-Selberg integrals for principal series representations of GL(n)",

abstract = "We prove that the local Rankin-Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin-Selberg subgroups, up to certain constants given by the local gamma factors.",

keywords = "Local Rankin-Selberg period, Rankin-Selberg subgroup",

author = "Dongwen Liu and Feng Su and Binyong Sun",

note = "Publisher Copyright: {\textcopyright} 2021 Walter de Gruyter GmbH, Berlin/Boston.",

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AU - Liu, Dongwen

AU - Su, Feng

AU - Sun, Binyong

PY - 2021/11/1

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N2 - We prove that the local Rankin-Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin-Selberg subgroups, up to certain constants given by the local gamma factors.

AB - We prove that the local Rankin-Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin-Selberg subgroups, up to certain constants given by the local gamma factors.

KW - Local Rankin-Selberg period

KW - Rankin-Selberg subgroup

UR - https://www.scopus.com/pages/publications/85115928163

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DO - 10.1515/forum-2020-0194

M3 - Article

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SP - 1549

EP - 1559

JO - Forum Mathematicum

JF - Forum Mathematicum

IS - 6

ER -

Rankin-Selberg integrals for principal series representations of GL(n)

Abstract

Keywords

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