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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Whittaker models for $SL_{2}(F)$, $F$ a $p$-adic field
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by Roberto Johnson and José Pantoja PDF
Proc. Amer. Math. Soc. 135 (2007), 579-586 Request permission

Abstract:

Let $F$ be a non-archimedean local field with odd residual characteristic. Let $G$ be the group $SL_{2}(F).$ We construct explicit Whittaker models for any supercuspidal representation of $G$ with positive level.
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Additional Information
  • Roberto Johnson
  • Affiliation: Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile
  • Email: rjohnson@ucv.cl
  • José Pantoja
  • Affiliation: Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile
  • Email: jpantoja@ucv.cl
  • Received by editor(s): March 21, 2005
  • Received by editor(s) in revised form: August 26, 2005
  • Published electronically: August 4, 2006
  • Additional Notes: The first author was partially supported by Pontificia Universidad Catolica de Valparaiso (Project DI 124.796/2004)
    The second author was partially supported by FONDECYT (Project 1030907) and Pontificia Universidad Catolica de Valparaiso
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2006 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 579-586
  • MSC (2000): Primary 22D30
  • DOI: https://doi.org/10.1090/S0002-9939-06-08480-2
  • MathSciNet review: 2255305