Format:
Online-Ressource (VII, 163 pp, online resource)
ISBN:
9783540481027
,
9783540186991
Series Statement:
Lecture Notes in Mathematics 1291
Content:
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 exposés 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
Additional Edition:
ISBN 9783540186991
Additional Edition:
Erscheint auch als Druck-Ausgabe Correspondances de Howe sur un corps p-adique Berlin : Springer, 1987 ISBN 3540186999
Additional Edition:
ISBN 0387186999
Language:
French
Subjects:
Mathematics
Keywords:
Metaplektische Darstellung
;
p-adischer Zahlkörper
;
Howe-Vermutung
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
Author information:
Moeglin, Colette 1953-
Author information:
Waldspurger, Jean-Loup 1953-
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