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: | , , , , |
|---|---|
| Format: | eBook |
| Language: | Inglés |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2007.
|
| Edition: | 1st ed. 2007. |
| Series: | Lecture Notes in Mathematics,
1913 |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462061206719 |
Table of Contents:
- 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.
