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Genericity of supercuspidal representations of p-adic Sp4

Part of: Lie groups

Published online by Cambridge University Press:  01 January 2009

Corinne Blondel  and
Shaun Stevens
Corinne Blondel
Affiliation:
CNRS, Théorie des Groupes, Case 7012, Institut de Mathématiques de Jussieu, Université Paris 7, F-75251 Paris cedex 05, France (email: blondel@math.jussieu.fr)
Shaun Stevens
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom (email: shaun.stevens@uea.ac.uk)
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Abstract

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We describe the supercuspidal representations of Sp4(F), for F a non-archimedean local field of residual characteristic different from two, and determine which are generic.

Keywords

symplectic groupssupercuspidal representationsWhittaker model

MSC classification

Secondary: 22E50: Representations of Lie and linear algebraic groups over local fields
Type
Research Article
Information
Compositio Mathematica , Volume 145 , Issue 1 , January 2009 , pp. 213 - 246
Copyright
Copyright © Foundation Compositio Mathematica 2009

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