Refined anisotropic K-types and supercuspidal representations

Jeffrey D. Adler

Vol. 185 (1998), No. 1, 1–32

DOI: 10.2140/pjm.1998.185.1

Abstract

Let F be a nonarchimedean local field, and G a connected reductive group defined over F. We classify the representations of G(F) that contain any anisotropic unrefined minimal K-type satisfying a certain tameness condition. We show that these representations are induced from compact (mod center) subgroups, and we construct corresponding refined minimal K-types.

Milestones

Received: 12 September 1996

Revised: 19 August 1997

Published: 1 September 1998