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

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

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
State	Published - 1 Nov 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Walter de Gruyter GmbH, Berlin/Boston.

Keywords

Local Rankin-Selberg period
Rankin-Selberg subgroup

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10.1515/forum-2020-0194

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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.",

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KW - Rankin-Selberg subgroup

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

Abstract

Bibliographical note

Keywords

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