Hamiltonian Reduction By Stages (lecture Notes In Mathematics, Vol. 1913)
by Jerrold E. Marsden /
2007 / English / PDF
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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.
