The geometry of infinite-dimensional groups
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes...
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| Main Authors: | , |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edition: | 1st ed. 2009. |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
51 |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 30 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The geometry of infinite-dimensional groups, by Boris Khesin, Robert Wendt, Berlin, Springer, 2009, 1 vol. (XII-304 p.), Ergebnisse der Mathematik und ihrer Grenzgebiete, 978-3-540-77262-0 |
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