Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-14T05:35:40.317Z Has data issue: false hasContentIssue false
  • English
  • Français

Poles of Intertwining Operators via Endoscopy; the Connection with Prehomogeneous Vector Spaces With an Appendix, ‘Basic Endoscopic Data’, by Diana Shelstad To the Memory of Magdy Assem

Published online by Cambridge University Press:  04 December 2007

Freydoon Shahidi
Freydoon Shahidi
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. e-mail: shahidi@math.purdue.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we determine the residues at poles of standard intertwining operators for parabolically induced representations of an arbitrary connected reductive quansisplit algebraic group over a p-acid field whenever the unipotent radical of the parabolic subgroup is Abelian. We then interpret these residues by means of the theory of endoscopy.

Keywords

induced representationsintertwining operatorsendoscopyL-functions
Type
Research Article
Information
Compositio Mathematica , Volume 120 , Issue 3 , February 2000 , pp. 291 - 325
Copyright
© 2000 Kluwer Academic Publishers