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Symplectic Lie group actions. (English) Zbl 0439.58015

Algebraic topology, Proc. Symp., Aarhus 1978, Lect. Notes Math. 763, 504-538 (1979).

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
22E70 Applications of Lie groups to the sciences; explicit representations
57S15 Compact Lie groups of differentiable transformations
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
74-XX Mechanics of deformable solids