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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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The Langlands-Shahidi method for pairs via types and covers
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by Yeongseong Jo and M. Krishnamurthy PDF
Represent. Theory 26 (2022), 635-672 Request permission


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 ร  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.
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Additional Information
  • Yeongseong Jo
  • Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
  • Address at time of publication: Department of Mathematics Education, Ewha Womans University, Seoul 03760, Republic of Korea
  • MR Author ID: 995001
  • ORCID: 0000-0001-5546-8370
  • Email:
  • M. Krishnamurthy
  • Affiliation: Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242
  • MR Author ID: 720814
  • ORCID: 0000-0002-5367-2017
  • Email:
  • Received by editor(s): April 10, 2021
  • Received by editor(s) in revised form: April 11, 2022
  • Published electronically: June 28, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 635-672
  • MSC (2020): Primary 22E50; Secondary 11F70
  • DOI:
  • MathSciNet review: 4445716