Hamiltonian reduction by stages / Jerrold E. Marsden [and others].
"In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group,...
Saved in:
| Main Author: | |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer Verlag,
[2007]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1913. |
| Subjects: | |
| Online Access: | Springer eBooks |
MARC
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| 100 | 1 | |a Marsden, Jerrold E., |e author. |9 263922 | |
| 245 | 1 | 0 | |a Hamiltonian reduction by stages / |c Jerrold E. Marsden [and others]. |
| 264 | 1 | |a Berlin ; |a New York : |b Springer Verlag, |c [2007] | |
| 264 | 4 | |c ©2007 | |
| 300 | |a 1 online resource (xv, 519 pages) : |b illustrations. | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1913 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a pt. 1. Background and the problem setting -- Symplectic reduction -- Cotangent bundle reduction -- The problem setting -- pt. 2. Regular symplectic reduction by stages -- Commuting reduction and semidirect product theory -- Regular reduction by stages -- Group extensions and the stages hypothesis -- Magnetic cotangent bundle reduction -- Stages and coadjoint orbits of central extensions -- Examples -- Stages and semidirect products with cocycles -- Reduction by stages via symplectic distributions reduction by stages with topological conditions -- pt. 3. Optimal reduction and singular reduction by stages / Juan-Pablo Ortega -- The optimal momentum map and point reduction -- Optimal orbit reduction -- Optimal reduction by stages. | |
| 520 | |a "In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages."--Publisher description. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 650 | 0 | |a Differential equations. |9 316678 | |
| 650 | 0 | |a Hamiltonian systems. |9 318625 | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1913. |9 1047047 | |
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