Hamiltonian Reduction by Stages

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 Bo...

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Hlavní autoři: Marsden, Jerrold E., 1942-2010, Misiołek, Gerard (Autor), Ratiu, Tudor Stefan, 1950-...., mathématicien (Autor), Perlmutter, Matthew (Autor), Ortega, Juan-Pablo, 19..-...., mathématicien (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2007.
Edice:Lecture Notes in Mathematics 1913
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Poznámka: L'impression du document génère 535 p.
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Edition sous un autre format:• Hamiltonian reduction by stages, Jerrold E. Marsden, Gerard Misiołek, Juan-Pablo Ortega, ... [et al.], 2007, Berlin, Springer, 1 vol. (XV-519 p.), Lecture notes in mathematics, 978-3-540-72469-8
Popis
Shrnutí: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.
Popis jednotky:L'impression du document génère 535 p.
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Bibliografie:Bibliogr. Index
ISBN:9783540724704
ISSN:1617-9692
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