The Langlands-Shahidi method for pairs via types and covers

Yeongseong Jo; M. Krishnamurthy

doi:10.1090/ert/620

Back

The Langlands-Shahidi method for pairs via types and covers

Journal article

Open access

Peer reviewed

The Langlands-Shahidi method for pairs via types and covers

Yeongseong Jo and M. Krishnamurthy

Representation theory, Vol.26(22), p.635

06/28/2022

DOI: 10.1090/ert/620

Files and links (1)

url

https://doi.org/10.1090/ert/620View

Published (Version of record) Open Access

Abstract

We compute the local coefficient attached to a pair (\pi _1,\pi _2) of supercuspidal (complex) representations of the general linear group using the theory of types and covers à la Bushnell-Kutzko. In the process, we obtain another proof of a well-known formula of Shahidi for the corresponding Plancherel constant. The approach taken here can be adapted to other situations of arithmetic interest within the context of the Langlands-Shahidi method, particularly to that of a Siegel Levi subgroup inside a classical group.

epsilon factors

Types and covers

local coefficients

Details

Title: Subtitle: The Langlands-Shahidi method for pairs via types and covers
Creators: Yeongseong Jo - University of Iowa
M. Krishnamurthy - University of Iowa
Resource Type: Journal article
Publication Details: Representation theory, Vol.26(22), p.635
DOI: 10.1090/ert/620
eISSN: 1088-4165
Number of pages: 38
Language: English
Date published: 06/28/2022
Academic Unit: Mathematics
Record Identifier: 9984269253702771

Metrics

10 Record Views

1 Times Cited - Web of Science