Representations of Metaplectic Groups over Local Fields

  title={Representations of Metaplectic Groups over Local Fields},
  author={Peter J. McNamara},
Let G be a split reductive algebraic group over a non-archimedean local field. We study the representation theory of a central extension G̃ of G by a cyclic group of order n, under some mild tameness assumptions on n. In particular, we focus our attention on the development of the theory of principal series representations for G̃ and its applications to the study of Hecke algebras via a Satake isomorphism.