Symplectic Reduction By Stages
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Hamiltonian Reduction by Stages
Author | : Jerrold E. Marsden |
Publisher | : Springer |
Total Pages | : 527 |
Release | : 2007-06-05 |
Genre | : Mathematics |
ISBN | : 3540724702 |
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This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
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* Winner of the Ferran Sunyer i Balaguer Prize in 2000. * Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and s