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Reducibility of some Induced Representations of Split Classical p-Adic Groups

Published online by Cambridge University Press:  04 December 2007

F. MURNAGHAN  and
J. REPKA
F. MURNAGHAN
Affiliation:
Department of Mathematics, University of Toronto, 100, St. George Street, Toronto, Canada M5S 3G3; e-mail: fiona@math.toronto.edu, repka@math.toronto.edu
J. REPKA
Affiliation:
Department of Mathematics, University of Toronto, 100, St. George Street, Toronto, Canada M5S 3G3; e-mail: fiona@math.toronto.edu, repka@math.toronto.edu
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Abstract

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In this paper we study reducibility of representations of split classical p-adic groups induced from self-contragredient supercuspidal represetation associated via Howe‘s construction to an admissible character, we show that in many cases Shahidi‘s criterion for reducibility of the induced representation reduces to a simple condition on the admissible character.

Keywords

supercuspidal representationintegralmatrix coefficient.
Type
Research Article
Information
Compositio Mathematica , Volume 114 , Issue 3 , December 1998 , pp. 263 - 305
Copyright
© 1998 Kluwer Academic Publishers