CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF METAPLECTIC COVERS OF THE GENERAL LINEAR GROUP OVER A NON-ARCHIMEDEAN LOCAL FIELD

Eyal Kaplan; Erez Lapid; Jiandi Zou

doi:10.1090/ERT/659

CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF METAPLECTIC COVERS OF THE GENERAL LINEAR GROUP OVER A NON-ARCHIMEDEAN LOCAL FIELD

Eyal Kaplan, Erez Lapid, Jiandi Zou

Department of Mathematics

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

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Abstract

Let F be a non-archimedean local field and r a non-negative integer. The classification of the irreducible representations of GL_r(F) in terms of supercuspidal representations is one of the highlights of the Bernstein–Zelevinsky theory. We give an analogous classification for metaplectic coverings of GL_r(F).

Original language	English
Pages (from-to)	1041-1087
Number of pages	47
Journal	Representation Theory
Volume	27
DOIs	https://doi.org/10.1090/ERT/659
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 American Mathematical Society

Funding

Received by the editors June 29, 2022, and, in revised form, April 7, 2023, and July 24, 2023. 2020 Mathematics Subject Classification. Primary 22E50. First named author was partially supported by the Israel Science Foundation (grant numbers 376/21 and 421/17). Third named author was partially supported by the Israel Science Foundation (grant No.

Funders	Funder number
Israel Science Foundation	421/17, 376/21

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CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF METAPLECTIC COVERS OF THE GENERAL LINEAR GROUP OVER A NON-ARCHIMEDEAN LOCAL FIELD

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