Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

Kaplan, Eyal; Lapid, Erez; Zou, Jiandi

doi:10.1090/ert/659

Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field
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by Eyal Kaplan, Erez Lapid and Jiandi Zou

Represent. Theory 27 (2023), 1041-1087

DOI: https://doi.org/10.1090/ert/659

Published electronically: November 3, 2023

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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 $GL_r(F)$.

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