Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-05T15:45:25.713Z Has data issue: false hasContentIssue false
  • English
  • Français

THE ALGEBRAIC THEORY OF TEMPERED REPRESENTATIONS OF p-ADIC GROUPS I. PARABOLIC INDUCTION AND RESTRICTION

Published online by Cambridge University Press:  21 September 2006

Peter Schneider  and
Ernst-Wilhelm Zink
Peter Schneider
Affiliation:
Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, D-48149 Münster, Germany ([email protected])
Ernst-Wilhelm Zink
Affiliation:
Institut für reine Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we study the category of non-degenerate modules over the Harish-Chandra Schwartz algebra of a p-adic connected reductive group. We construct functors of parabolic induction and restriction and show that they are exact and both ways adjoint to each other.

Keywords

p-adic reductive groupSchwartz algebratempered representationPrimary 22E50
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 6 , Issue 4 , October 2007 , pp. 639 - 688
Copyright
2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)