Skip to main content
  • Conference proceedings
  • © 1987

Correspondances de Howe sur un corps p-adique

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

Buying options

eBook USD 19.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (6 papers)

  1. Front Matter

    Pages I-VII
  2. Espaces hermitiens

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 1-25
  3. Représentations métaplectiques et conjecture de Howe

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 27-50
  4. Correspondance de Howe et induction

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 51-77
  5. Sur les classes de conjugaison dans certains groupes unitaires

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 79-97
  6. Paires réductives duales non ramifiées

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 99-125
  7. Représentations de petit rang du groupe symplectique

    • Colette Mœglin, Marie-France Vignéras, Jean-Loup Waldspurger
    Pages 127-161
  8. Back Matter

    Pages 163-168

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.

Bibliographic Information

  • Book Title: Correspondances de Howe sur un corps p-adique

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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082712

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18699-1Published: 09 December 1987

  • eBook ISBN: 978-3-540-48102-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 163

  • Topics: Number Theory, Topological Groups and Lie Groups, Group Theory and Generalizations

Buying options

eBook USD 19.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 29.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions