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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: [email protected]
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Abstract

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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