Hamiltonian reduction by stages
Saved in:
Corporate Authors: | |
---|---|
Group Author: | |
Published: |
Springer Verlag,
|
Publisher Address: | Berlin New York |
Publication Dates: | c2007. |
Literature type: | Book |
Language: | English |
Series: |
Lecture notes in mathematics ; 1913 |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-3-540-72470-4 |
Carrier Form: | xv, 519 p.: ill. ; 24 cm. |
ISBN: |
9783540724704 (electronic bk.) 3540724702 (electronic bk.) |
Index Number: | O151 |
CLC: | O151.21 |
Contents: |
Includes bibliographical references (p. [483]-508) and index. 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. |