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. The classification of the irreducible representations of GLn(F ), n ≥ 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 GLn(F ), n ≥ 0.