Correspondances de Howe sur un corps p-adique /

This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and...

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Bibliographic Details
Main Author:	Moeglin, Colette, 1953-
Corporate Author:	SpringerLink (Online service)
Other Authors:	Vignéras, Marie France, 1946-, Waldspurger, Jean-Loup, 1953-
Format:	eBook
Language:	French
Published:	Berlin ; New York : Springer-Verlag, [1987]
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1291.
Subjects:	Discontinuous groups. Representations of groups. Lie groups. Groupes discontinus. Représentations de groupes. Lie, Groupes de. Howe-Vermutung. Metaplektische Darstellung. p-adischer Zahlkörper. Discontinuous groups Lie groups Representations of groups Electronic books.
Online Access:	Connect to the full text of this electronic book

Description
Summary:	This book grew out of seminar held at the University of Paris 7 during the academic year 1985-86. The aim of the seminar was to give an exposition of the theory of the Metaplectic Representation (or Weil Representation) over a p-adic field. The book begins with the algebraic theory of symplectic and unitary spaces and a general presentation of metaplectic representations. It continues with exposs on the recent work of Kudla (Howe Conjecture and induction) and of Howe (proof of the conjecture in the unramified case, representations of low rank). These lecture notes contain several original results. The book assumes some background in geometry and arithmetic (symplectic forms, quadratic forms, reductive groups, etc.), and with the theory of reductive groups over a p-adic field. It is written for researchers in p-adic reductive groups, including number theorists with an interest in the role played by the Weil Representation and -series in the theory of automorphic forms.
Item Description:	"Subseries: Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn, volume 11." Electronic resource.
Physical Description:	1 online resource (iv, 161 pages)
Format:	Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:	Includes bibliographical references (page 161).
ISBN:	9783540481027 (electronic bk.) 3540481028 (electronic bk.)
ISSN:	0075-8434 ;