Jerrold E. Marsden
Hamiltonian Reduction by Stages
Buch
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…
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Beschreibung
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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Produktdetails
Weitere Autoren: Misiolek, Gerard / Ortega, Juan-Pablo / Perlmutter, Matthew / Ratiu, Tudor Stefan
- ISBN: 978-3-540-72469-8
- EAN: 9783540724698
- Produktnummer: 2949128
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2007
- Seitenangabe: 524 S.
- Masse: H23.5 cm x B15.5 cm x D2.9 cm 814 g
- Reihenbandnummer: 1913
- Gewicht: 814
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