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Hamiltonian Reduction by Stages by Gerard Misiolek, Jerrold E. Marsden, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu

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Hamiltonian Reduction by Stages Gerard Misiolek, Jerrold E. Marsden, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu
Language: English
Page: 522
Format: djvu
ISBN: 3540724699, 9783540724698
Publisher: Springer

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.