Vol. 199, No. 2, 2001

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Quadratic base change for p-adic SL(2) as a theta correspondence II: Jacquet modules

David Manderscheid

Vol. 199 (2001), No. 2, 447–466
Abstract

Let F be a p-adic field and let O be the orthogonal group attached to a quaternary quadratic form with coefficients in F and of Witt rank one over F. We determine, up to one possible exception, which nonsupercuspidal representations of O(F ) occur in the theta correspondences attached to (SL2 (F ),O (F )).

Milestones
Received: 1 June 1999
Revised: 11 July 2000
Published: 1 June 2001
Authors
David Manderscheid
Mathematics Department
University of Iowa
Iowa City, IA 52242-1419