The Whittaker models of induced representations

Hervé Jacquet and Joseph Andrew Shalika

Vol. 109 (1983), No. 1, 107–120

DOI: 10.2140/pjm.1983.109.107

Abstract

If F is a local non-Archimedean field, then every irreducible admissible representation π of GL(r,F) is a quotient of a representation ξ induced by tempered ones. We show that ξ has a Whittaker model, even though it may fail to be irreducible.

Mathematical Subject Classification 2000

Primary: 22E50

Milestones

Received: 10 October 1981

Revised: 19 July 1982

Published: 1 November 1983