Vol. 109, No. 1, 1983

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The Whittaker models of induced representations

Hervé Jacquet and Joseph Andrew Shalika

Vol. 109 (1983), No. 1, 107–120
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
Authors
Hervé Jacquet
Department of Mathematics
Columbia University
MC 4408
New York NY 10027
United States
Joseph Andrew Shalika