Correspondances de Howe sur un corps p-adique

  • Authors
  • Colette Mœglin
  • Marie-France Vignéras
  • Jean-Loup Waldspurger

Part of the Lecture Notes in Mathematics book series (LNM, volume 1291)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 1-25
  3. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 27-50
  4. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 51-77
  5. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 79-97
  6. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 99-125
  7. Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 127-161
  8. Back Matter
    Pages 163-168

About these proceedings

Introduction

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.

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0082712
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-18699-1
  • Online ISBN 978-3-540-48102-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book