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Lecture Notes in Mathematics

Correspondances de Howe sur un corps p-adique

Authors: Moeglin, Colette, Vignéras, Marie-France, Waldspurger, Jean-Loup

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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Espaces hermitiens

    Pages 1-25

    Mœglin, Colette (et al.)

  • Représentations métaplectiques et conjecture de Howe

    Pages 27-50

    Mœglin, Colette (et al.)

  • Correspondance de Howe et induction

    Pages 51-77

    Mœglin, Colette (et al.)

  • Sur les classes de conjugaison dans certains groupes unitaires

    Pages 79-97

    Mœglin, Colette (et al.)

  • Paires réductives duales non ramifiées

    Pages 99-125

    Mœglin, Colette (et al.)

Buy this book

eBook 15,28 €
price for Spain (gross)
  • ISBN 978-3-540-48102-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 29,11 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Correspondances de Howe sur un corps p-adique
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1291
Copyright
1987
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48102-7
DOI
10.1007/BFb0082712
Softcover ISBN
978-3-540-18699-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VII, 163
Topics

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