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arXiv · 2206.14731

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

Eyal Kaplan·Erez Lapid·Jiandi Zou
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Abstract

Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $GL_n(F)$, $n\ge0$ in terms of supercuspidal representations is one of the highlights of the Bernstein--Zelevinsky theory. We give an analogous classification for metaplectic coverings of $GL_n(F)$, $n\ge0$.

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Eyal Kaplan, Erez Lapid, Jiandi Zou. 2022-06-29. Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field. https://arxiv.org/abs/2206.14731

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