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

Eyal Kaplan, Erez Lapid, Jiandi Zou

Research output: Contribution to journalArticlepeer-review

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).

Original languageEnglish
Pages (from-to)1041-1087
Number of pages47
JournalRepresentation Theory
Volume27
DOIs
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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