Symmetry and symplectic reduction

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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.
11 pages. To appear in the Encyclopedia of Mathematical Physics. Jean-Pierre Françoise, Greg Naber, Sheung Tsun Tsou (editors). Elsevier

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