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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Mathematical Sciences Research Institute Publications, 4 |
Release date: |
September 2012 |
First published: |
1985 |
Editors: |
Victor Kac
|
Dimensions: |
235 x 155 x 21mm (L x W x T) |
Format: |
Paperback
|
Pages: |
380 |
Edition: |
Softcover reprint of the original 1st ed. 1985 |
ISBN-13: |
978-1-4612-7012-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
1-4612-7012-X |
Barcode: |
9781461270126 |
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