Note on semisymplectic actions of Lie groups
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Publication:4503739
DOI10.1016/S0764-4442(00)00322-0zbMath0977.70013WikidataQ115338674 ScholiaQ115338674MaRDI QIDQ4503739
Roberts, Mark, James A. Montaldi
Publication date: 14 September 2000
Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)
symplectic manifoldGalilean invariancesymplectic reduced spacesreduction of \(N\)-body systemssemisymplectic action of Lie groups
Applications of Lie groups to the sciences; explicit representations (22E70) (n)-body problems (70F10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
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\(\omega\)-symplectic algebra and Hamiltonian vector fields ⋮ Continuous singularities in Hamiltonian relative equilibria with abelian momentum isotropy ⋮ Relative equilibria of point vortices on the sphere ⋮ Non-abelian momentum polytopes for products of \(\mathbb{CP}^2\) ⋮ Generalized point vortex dynamics on \(\mathbb{CP}^2\) ⋮ Hamiltonian systems near relative equilibria
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