| Infinite Dimensional Groups with Applications 1985 Edition Contributor(s): Kac, Victor (Editor) |
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ISBN: 0387962166 ISBN-13: 9780387962160 Publisher: Springer OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: October 1985 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Group Theory - Science | History |
| Dewey: 512.55 |
| LCCN: 85017382 |
| Series: Mathematical Sciences Research Institute Publications |
| Physical Information: 0.88" H x 6.14" W x 9.21" (1.61 lbs) 380 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |