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Momentum Maps and Hamiltonian Reduction
Paperback
Series: Progress in Mathematics, Book 222
ISBN13: 9781475738131
Publisher: Birkhauser
Published: Feb 14 2013
Pages: 501
Weight: 1.64
Height: 1.08 Width: 6.14 Depth: 9.21
Language: English
The use of symmetries and conservation laws in the qualitative description of dynamics has a long history going back to the founders of classical mechanics. The focus of this work is a comprehensive and self-contained presentation of the intimate connection between symmetries, conservation laws, and reduction, treating the singular case in detail. This Ferran Sunyer i Balaguer Prize-winning monograph is the first self-contained and thorough presentation of the theory of Hamiltonian reduction in the presence of singularities. It can serve as a resource for graduate courses and seminars in symplectic and Poisson geometry, mechanics, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.
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