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9783540724698

Hamiltonian Reduction by Stages

Hamiltonian Reduction by Stages
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  • ISBN-13: 9783540724698
  • ISBN: 3540724699
  • Publication Date: 2007
  • Publisher: Springer

AUTHOR

Marsden, Jerrold E.

SUMMARY

In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.Marsden, Jerrold E. is the author of 'Hamiltonian Reduction by Stages', published 2007 under ISBN 9783540724698 and ISBN 3540724699.

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