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Reducibility for Non-Connected p-Adic Groups, With G° Of Prime Index

Published online by Cambridge University Press:  20 November 2018

David Goldberg
David Goldberg*
Affiliation:
Department of Mathematics Purdue University West Lafayette, Indiana 47907 U.S.A.
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Abstract

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We determine the structure of representations induced from discrete series of parabolic subgroups of quasi-split p-adic groups G with G/G° a cyclic group of prime order. We attach to each such representation an R-group which extends the definition of the Knapp-Stein R-group. We show that this R-group has the properties predicted by Arthur. We apply our results to the case of Orthogonal groups.

Keywords

22E5022E35
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 2 , 01 April 1995 , pp. 344 - 363
Copyright
Copyright © Canadian Mathematical Society 1995

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