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

Eyal Kaplan; Erez Lapid; Jiandi Zou

paper

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

arXiv:2206.14731

Abstract

Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $G L_{n} (F)$ , $n \geq 0$ in terms of supercuspidal representations is one of the highlights of the Bernstein--Zelevinsky theory. We give an analogous classification for metaplectic coverings of $G L_{n} (F)$ , $n \geq 0$ .