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...
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| Главные авторы: | , , , , |
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| Соавтор: | |
| Формат: | Электронный ресурс eКнига |
| Язык: | English |
| Опубликовано: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2007.
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| Редактирование: | 1st ed. 2007. |
| Серии: | Lecture Notes in Mathematics,
1913 |
| Предметы: | |
| Online-ссылка: | https://doi.org/10.1007/978-3-540-72470-4 |
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Оглавление:
- Background and the Problem Setting
- Symplectic Reduction
- Cotangent Bundle Reduction
- The Problem Setting
- 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
- Optimal Reduction and Singular Reduction by Stages, by Juan-Pablo Ortega
- The Optimal Momentum Map and Point Reduction
- Optimal Orbit Reduction
- Optimal Reduction by Stages.