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...
Shranjeno v:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2009. |
| Serija: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
51 |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
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 |
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| 100 | 1 | |a Khesin, Boris A. | |
| 245 | 1 | 0 | |a The geometry of infinite-dimensional groups |c by Boris Khesin, Robert Wendt. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |v 51 | |
| 500 | |a Description d'après consultation du 30 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 unifying geometric ideas of the theory and gives numerous illustrations and examples, ranging from the classification of the Virasoro coadjoint orbits to knot theory, from optimal mass transport to moduli spaces of flat connections on surfaces. The text includes many exercises and open questions, and it is accessible to both students and researchers in Lie theory, geometry, and Hamiltonian systems | ||
| 700 | 1 | |a Wendt, Robert. |4 aut | |
| 700 | 1 | |a Wendt, Robert. |4 aut | |
| 776 | 0 | |0 12873714X |t The geometry of infinite-dimensional groups |f by Boris Khesin, Robert Wendt |c Berlin |n Springer |d 2009 |p 1 vol. (XII-304 p.) |s Ergebnisse der Mathematik und ihrer Grenzgebiete |z 978-3-540-77262-0 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-77263-7 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:747838275 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-77263-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750855835 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-77263-7 |z Accès INSA CVL | |
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