Skip to main content
SpringerLink
Log in
Book cover

Infinite Dimensional Groups with Applications

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. V. Kac

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA
      Mathematical Sciences Research Institute, Berkeley, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 4)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (15 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. The Lie Group Structure of Diffeomorphism Groups and Invertible Fourier Integral Operators with Applications

    • Malcolm Adams, Tudor Ratiu, Rudolf Schmid
    Pages 1-69

  3. On Landau-Lifshitz Equation and Infinite Dimensional Groups

    • Etsuro Date, Michio Jimbo, Masaki Kashiwara, Tetsuji Miwa
    Pages 71-81

  4. Flag Manifolds and Infinite Dimensional Kähler Geometry

    • D. S. Freed
    Pages 83-124

  5. Positive-Energy Representations of the Group of Diffeomorphisms of the Circle

    • Roe Goodman, Nolan R. Wallach
    Pages 125-135

  6. Instantons and Harmonic Maps

    • M. A. Guest
    Pages 137-156

  7. A Coxeter Group Approach to Schubert Varieties

    • Ziad Haddad
    Pages 157-165

  8. Constructing Groups Associated to Infinite-Dimensional Lie Algebras

    • Victor G. Kac
    Pages 167-216

  9. Harish-Chandra Modules Over the Virasoro Algebra

    • Irving Kaplansky, L. J. Santharoubane
    Pages 217-231

  10. Rational Homotopy Theory of Flag Varieties Associated to Kac-Moody Groups

    • Shrawan Kumar
    Pages 233-273

  11. The Two-Sided Cells of the Affine Weyl Group of Type Ãn

    • George Lusztig
    Pages 275-283

  12. Loop Groups, Grassmannians and KdV Equations

    • Andrew Pressley
    Pages 285-306

  13. An Adjoint Quotient for Certain Groups Attached to Kac-Moody Algebras

    • Peter Slodowy
    Pages 307-333

  14. Analytic and Algebraic Aspects of the Kadomtsev-Petviashvili Hierarchy from the Viewpoint of the Universal Grassmann Manifold

    • Kimio Ueno
    Pages 335-353

  15. Comments on Differential Invariants

    • B. Weisfeiler
    Pages 355-370

  16. The Virasoro Algebra and the KP Hierarchy

    • Hirofumi Yamada
    Pages 371-380
Back to top

Keywords

About this book

This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D. S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M. A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V. G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L. J. Santharoubane 233 Rational Homotopy Theory of Flag S.

Editors and Affiliations

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    V. Kac

  • Mathematical Sciences Research Institute, Berkeley, USA

    V. Kac

Bibliographic Information

  • Book Title: Infinite Dimensional Groups with Applications

  • Editors: V. Kac

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4612-1104-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1985

  • Hardcover ISBN: 978-0-387-96216-0Published: 14 October 1985

  • Softcover ISBN: 978-1-4612-7012-6Published: 30 September 2012

  • eBook ISBN: 978-1-4612-1104-4Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: X, 380

  • Topics: Group Theory and Generalizations

Publish with us

Policies and ethics

Back to top

Search

Navigation