The Geometry of Infinite-Dimensional Groups
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; 51;
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Product details:
- Edition number 2009
- Publisher Springer Berlin Heidelberg
- Date of Publication 1 October 2008
- Number of Volumes 1 pieces, Book
- ISBN 9783540772620
- Binding Hardback
- No. of pages304 pages
- Size 235x155 mm
- Weight 1370 g
- Language English
- Illustrations XII, 304 p. Illustrations, black & white 0
Categories
Table of Contents:
Preface.- Introduction.- I Preliminaries.- II Infinite-dimensional Lie Groups: Their Geometry, Orbits and Dynamical Systems.- III Applications of Groups: Topological and Holomorphic Gauge Theories.- Appendices.- A1 Root Systems.- A2 Compact Lie Groups.- A3 Krichever-Novikov Algebras.- A4 Kähler Structures on the Virasoro and Loop Group Coadjoint Orbits.- A5 Metrics and Diameters of the Group of Hamiltonian Diffeomorphisms.- A6 Semi-Direct Extensions of the Diffeomorphism Group and Gas Dynamics.- A7 The Drinfeld-Sokolov Reduction.- A8 Surjectivity of the Exponential Map on Pseudo-Differential Symbols.- A9 Torus Actions on the Moduli Space of Flat Connections.- Bibliography.- Index
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