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Parabolic Induction and the Bernstein Decomposition

Published online by Cambridge University Press:  04 December 2007

Alan Roche
Alan Roche
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A. E-mail: aroche@math.ou.edu
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Abstract

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We use some fundamental work of Bernstein to study parabolic induction in reductive p-adic groups. In particular, we determine when parabolic induction from a component of the Bernstein decomposition of a Levi subgroup to the corresponding component of the full group is an equivalence of categories.

Keywords

equivalence of categoriesparabolic inductionsmooth representation

Information

Type
Research Article
Information
Compositio Mathematica , Volume 134 , Issue 2 , November 2002 , pp. 113 - 133
Copyright
© 2002 Kluwer Academic Publishers