Generalized Whittaker Models and the Bernstein Center

• Published in: American journal of mathematics Vol. 125; no. 3; pp. 513 - 547
• Main Authors: Bushnell, Colin J., Henniart, Guy
• Format: Journal Article
• Language: English
• Published: Baltimore, MD Johns Hopkins University Press 01.06.2003
• Subjects: Algebra; Equivalence relation; Exact sciences and technology; Functors; Homomorphisms; Integers; Mathematical analysis; Mathematical induction; Mathematical models; Mathematical rings; Mathematical theorems; Mathematics; Number theory; Sciences and techniques of general use; Vector spaces; Character; Compact group; Number field; Group theory; Subgroup; Representation; Whittaker function; Non Archimedean fild; Local field; Models; Number theory; Group character; Jacquet module

Let F be a non-Archimedean local field and G the group of F-points of a connected reductive algebraic group defined over F. Let B be a minimal F-parabolic subgroup of G with Levi component T and unipotent radical U. We let ξ be a smooth character of U, nondegenerate in a certain sense. We consider t...