Normal forms generalizing action-angle coordinates for Hamiltonian actions of Lie groups

DOI10.1007/BF00398713zbMath0517.58011WikidataQ115395063 ScholiaQ115395063MaRDI QIDQ1053321

Charles-Michel Marle

Publication date: 1983

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

momentum mapisotropy subgroupaffine actionequivariant symplectic diffeomorphism

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Geometric and algebraic reduction for singular momentum maps, Linear integral transformations and hierarchies of integrable nonlinear evolution equations, Classification des actions hamiltoniennes complètement intégrables de rang deux. (Classification of completely integrable Hamiltonian actions of rang 2.), Momentum maps and reduction in algebraic geometry

Cites Work

• Reduction of symplectic manifolds with symmetry
• Symplectic manifolds and their Lagrangian submanifolds
• Hamiltonian group actions and dynamical systems of calogero type
• Quantization and unitary representations
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