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Whittaker models for $ SL_{2}(F)$, $ F$ a $ p$-adic field


Authors: Roberto Johnson and José Pantoja
Journal: Proc. Amer. Math. Soc. 135 (2007), 579-586
MSC (2000): Primary 22D30
DOI: https://doi.org/10.1090/S0002-9939-06-08480-2
Published electronically: August 4, 2006
MathSciNet review: 2255305
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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

DOI: https://doi.org/10.1090/S0002-9939-06-08480-2
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
Article copyright: © Copyright 2006 American Mathematical Society

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