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An Intertwining Result for p-adic Groups

Published online by Cambridge University Press:  20 November 2018

Jeffrey D. Adler  and
Alan Roche
Jeffrey D. Adler
Affiliation:
Department of Mathematics and Computer Science, University of Akron, Akron, Ohio 44325-4002, U.S.A. email: adler@uakron.edu
Alan Roche
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078-1058, U.S.A. email: rocalan@math.okstate.edu
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Abstract

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For a reductive $p$-adic group $G$, we compute the supports of the Hecke algebras for the $K$-types for $G$ lying in a certain frequently-occurring class. When $G$ is classical, we compute the intertwining between any two such $K$-types.

Keywords

22E5020G05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 3 , 01 June 2000 , pp. 449 - 467
Copyright
Copyright © Canadian Mathematical Society 2000

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