Principal Series Representations of Metaplectic Groups Over Local Fields

By Peter J. McNamara. 2009

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/997bf41104fcfc472b3ac7cae5b37cc280c83b2c