* 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.

Momentum Maps and Hamiltonian Reduction (Progress in Mathematics)

Science & Math

Ratiu, Tudor S.

Ortega, Juan-Pablo

Mathematics

Birkhauser

<p>This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.</p>

Hamiltonian Reduction by Stages (Lecture Notes in Mathematics, Vol. 1913) (Lecture Notes in Mathematics, 1913)

MARSDEN, Jerrold E.

Misiolek, Gerard

Perlmutter, Matthew

Reference

Springer

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