Momentum maps and Hamiltonian reduction
著者
書誌事項
Momentum maps and Hamiltonian reduction
（Progress in mathematics, v. 222）
Springer Science+Business Media, [2013?], c2004
- : softcover
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注記
"Originally published by Juan-Pablo Ortega and Tudor S. Ratiu in 2004. Softcover reprint of the hardcover 1st edition 2004"--T.p. verso
"Ferran Sunyer i Balaguer Award winning monograph"--Cover
Includes bibliographical references (p. [443]-476) and index
内容説明・目次
内容説明
* Winner of the Ferran Sunyer i Balaguer Prize in 2000.
* Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and symplectic manifolds.
* Currently in classroom use in Europe.
* Can serve as a resource for graduate courses and seminars in Hamiltonian mechanics and symmetry, symplectic and Poisson geometry, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.
目次
Introduction * Manifolds and smooth structures * Lie group actions * Pseudogroups and groupoids * The standard momentum map * Generalizations of the momentum map * Regular symplectic reduction theory * The Symplectic Slice Theorem * Singular reduction and the stratification theorem * Optimal reduction * Poisson reduction * Dual Pairs * Bibliography * Index
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