Abstract

Let F F be a non-archimedean local field and r r a non-negative integer. The classification of the irreducible representations of G L r ( F ) 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 G L r ( F ) GL_r(F) .

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