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Hamiltonian Reduction by Stages (Lecture Notes in Mathematics, Vol. 1913) (Lecture Notes in Mathematics, 1913, Band 1913) - Softcover

Marsden, Jerrold E.

 
9783540724698: Hamiltonian Reduction by Stages (Lecture Notes in Mathematics, Vol. 1913) (Lecture Notes in Mathematics, 1913, Band 1913)
Softcover
ISBN 10: 3540724699 ISBN 13: 9783540724698
Verlag: Springer, 2007

Inhaltsangabe

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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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.

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Verlag
Springer
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
3540724699
ISBN 13 
9783540724698
Einband
Taschenbuch
Anzahl der Seiten
544
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