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The Character of a Simple Supercuspidal Representation of SL(2, F)

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Representations of Reductive p-adic Groups

Part of the book series: Progress in Mathematics ((PM,volume 328))

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Abstract

Let F be a non-Archimedean local field of characteristic zero with residual characteristic p. In this paper, we compute the character of a simple supercuspidal representation of SL(2, F), when p is arbitrary.

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References

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Acknowledgements

It is a great pleasure to have been able to discuss this work with Paul Sally, Jr. This paper has benefited from conversations with Paul Sally, Jr., Gordan Savin, and Loren Spice.

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Authors and Affiliations

  1. Department of Mathematics, Queens College, CUNY, 65-30 Kissena Blvd., Queens, NY, 11367-1597, USA

    Moshe Adrian

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  1. Moshe Adrian
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Correspondence to Moshe Adrian .

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Editors and Affiliations

  1. Institut de Mathématiques de Jussieu, Paris, France

    Anne-Marie Aubert

  2. Department of Mathematics, Indian Institute of Science Education and Research Pune, Pune, Maharashtra, India

    Manish Mishra

  3. Department of Mathematics, University of Oklahoma, Norman, OK, USA

    Alan Roche

  4. Department of Mathematics, Indian Institute of Science Education and Research Pune, Pune, Maharashtra, India

    Steven Spallone

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Adrian, M. (2019). The Character of a Simple Supercuspidal Representation of SL(2, F). In: Aubert, AM., Mishra, M., Roche, A., Spallone, S. (eds) Representations of Reductive p-adic Groups. Progress in Mathematics, vol 328. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-6628-4_4

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