Symmetry and symplectic reduction
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
This encyclopedia article briefly reviews without proofs some of the main results in symplectic reduction. The article recalls most the necessary prerequisites to understand the main results, namely, group actions, momentum maps, and coadjoint orbits, among others.
Keywords
Cite
@article{arxiv.math/0508634,
title = {Symmetry and symplectic reduction},
author = {Juan-Pablo Ortega and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0508634},
year = {2007}
}
Comments
11 pages. To appear in the Encyclopedia of Mathematical Physics. Jean-Pierre Fran\c{c}oise, Greg Naber, Sheung Tsun Tsou (editors). Elsevier