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Momentum Maps and Hamiltonian Reduction

von

Ortega, Juan-PabloRatiu, Tudor S.

BuchPaperback

Verkaufsrang24233inMathematik

CHF112.90

BuchabCHF91.90

eBookCHF94.50

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This idea can be generalized to many symmetries of the entire phase space of a given system, by associating to the Lie algebra action encoding the symmetry, a function from the phase space to the dual of the Lie algebra.

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ISBN/GTIN978-1-4757-3813-1

ProduktartBuch

EinbandPaperback

VerlagSpringerBirkhäuser

Erscheinungsdatum14.02.2013

AuflageSoftcover reprint of the origi

ReiheProgress in Mathematics

Reihen-Nr.222

Seiten501 Seiten

SpracheEnglisch

MasseBreite 155 mm, Höhe 235 mm

Gewicht813 g

IllustrationenXXXIV, 501 p. 2 illus., schwarz-weiss Illustrationen

WarengruppeNaturwissenschaft

KategorieMathematik

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Über die Autorin/den Autor

Ortega, Juan-PabloRatiu, Tudor S.

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.