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Distinguished Representations of Reductive p-Adic Groups

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Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2221))

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Abstract

We present a survey of results on representations of reductive p-adic groups distinguished by groups of fixed points of involutions. Topics discussed include criteria that characterize relatively supercuspidal and relative discrete series representations, formulas for spaces of invariant forms on distinguished tame supercuspidal representations, and properties of spherical characters.

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Authors and Affiliations

  1. University of Toronto, Toronto, ON, Canada

    Fiona Murnaghan

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  1. Fiona Murnaghan
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Correspondence to Fiona Murnaghan .

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Editors and Affiliations

  1. Aix-Marseille Université CNRS, Centrale Marseille, I2M, UMR 7373, Marseille, France

    Volker Heiermann

  2. School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India

    Dipendra Prasad

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Murnaghan, F. (2018). Distinguished Representations of Reductive p-Adic Groups. In: Heiermann, V., Prasad, D. (eds) Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms. Lecture Notes in Mathematics, vol 2221. Springer, Cham. https://doi.org/10.1007/978-3-319-95231-4_2

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