Hamiltonian Reduction by Stages
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 Bo...
| Main Authors: | , , , , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2007.
|
| Series: | Lecture Notes in Mathematics,
1913 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| Summary: | 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. |
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| Physical Description: | XV, 524 p. online resource. |
| ISBN: | 9783540724704 |
| ISSN: | 0075-8434 ; |
