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Hamiltonian reduction by stages

Author: Jerrold E Marsden
Publisher: Berlin ; New York : Springer Verlag, ©2007.
Series: Lecture notes in mathematics (Springer-Verlag), 1913.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hamiltonian reduction by stages.
Berlin ; New York : Springer Verlag, ©2007
(DLC) 2007927093
(OCoLC)154712316
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jerrold E Marsden
ISBN: 9783540724704 3540724702 3540724699 9783540724698 9786610937141 6610937141
OCLC Number: 184986068
Description: 1 online resource (xv, 519 pages) : illustrations.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1913.
Responsibility: Jerrold E. Marsden [and others].
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From the reviews:"For the first time in the literature, this book presents a detailed account of the theory of reduction by stages of Hamiltonian systems with symmetries. ... It is therefore a useful Read more...

 
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