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Principal Series Representations of Metaplectic Groups Over Local Fields

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Multiple Dirichlet Series, L-functions and Automorphic Forms

Part of the book series: Progress in Mathematics ((PM,volume 300))

Abstract

Let G be a split reductive algebraic group over a non-archimedean local field. We study the representation theory of a central extension \(\widetilde{G}\) 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 \(\widetilde{G}\) and its applications to the study of Hecke algebras via a Satake isomorphism.

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305-2125, USA

    Peter J. McNamara

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  1. Peter J. McNamara
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Correspondence to Peter J. McNamara .

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Editors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, 94305-2125, California, USA

    Daniel Bump

  2. , Department of Mathematics, Boston College, Commonwealth Ave. 140, Chestnut Hill, 02467-3806, Massachusetts, USA

    Solomon Friedberg

  3. , Department of Mathematics, Columbia University, Broadway 2990, New York, 10027, New York, USA

    Dorian Goldfeld

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McNamara, P.J. (2012). Principal Series Representations of Metaplectic Groups Over Local Fields. In: Bump, D., Friedberg, S., Goldfeld, D. (eds) Multiple Dirichlet Series, L-functions and Automorphic Forms. Progress in Mathematics, vol 300. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8334-4_13

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