Symmetry and symplectic reduction
辛几何
2007-05-23 v1 微分几何
摘要
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.
引用
@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}
}
备注
11 pages. To appear in the Encyclopedia of Mathematical Physics. Jean-Pierre Fran\c{c}oise, Greg Naber, Sheung Tsun Tsou (editors). Elsevier