Whittaker models for 𝑆𝐿₂(𝐹), 𝐹 a 𝑝-adic field

Author:

Johnson Roberto,Pantoja José

Abstract

Let F F be a non-archimedean local field with odd residual characteristic. Let G G be the group S L 2 ( F ) . SL_{2}(F). We construct explicit Whittaker models for any supercuspidal representation of G G with positive level.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Hereditary orders, Gauss sums and supercuspidal representations of 𝐺𝐿_{𝑁};Bushnell, Colin J.;J. Reine Angew. Math.,1987

2. Nonabelian congruence Gauss sums and 𝑝-adic simple algebras;Bushnell, C. J.;Proc. London Math. Soc. (3),1985

3. Annals of Mathematics Studies;Bushnell, Colin J.,1993

4. Representations of 𝑝-adic groups: a survey;Cartier, P.,1979

5. [Cs] W. Casselman, Introduction to the theory of admissible representations of p-adic reductive groups, Preprint.

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