Representations of metaplectic groups I: Epsilon dichotomy and local Langlands correspondence

Abstract

Using theta correspondence, we classify the irreducible representations of Mp 2n in terms of the irreducible representations of SO 2n+1 and determine many properties of this classification. This is a local Shimura correspondence which extends the well-known results of Waldspurger for n=1. © 2012 Foundation Compositio Mathematica.