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

Bar-Ilan University, Weizmann Institute of Science

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

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

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1090/ERT/659

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

abstract = "Let F be a non-archimedean local field and r a non-negative integer. The classification of the irreducible representations of GLr(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 GLr(F).",

author = "Eyal Kaplan and Erez Lapid and Jiandi Zou",

note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society",

year = "2023",

doi = "10.1090/ERT/659",

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AU - Lapid, Erez

AU - Zou, Jiandi

PY - 2023

Y1 - 2023

N2 - Let F be a non-archimedean local field and r a non-negative integer. The classification of the irreducible representations of GLr(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 GLr(F).

AB - Let F be a non-archimedean local field and r a non-negative integer. The classification of the irreducible representations of GLr(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 GLr(F).

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U2 - 10.1090/ERT/659

DO - 10.1090/ERT/659

M3 - مقالة

SN - 1088-4165

VL - 27

SP - 1041

EP - 1087

JO - Representation Theory

JF - Representation Theory

ER -

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

Abstract

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