Infinite Dimensional Groups with Applications

Kac, V. (editor)

ISBN 10: 0387962166 / ISBN 13: 9780387962160

Published by Berlin/Heidelberg : Springer-Verlag, 1985

About this Item

Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Mathematical Sciences Research Institute Publications, 4.; Name in pen on title page.

Seller Inventory # 341307-ZA20

Bibliographic Details

• Title: Infinite Dimensional Groups with Applications
• Publisher: Berlin/Heidelberg : Springer-Verlag
• Publication Date: 1985
• Language: English
• ISBN 10: 0387962166
• ISBN 13: 9780387962160
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

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.