Construction of canonical coordinates on polarized coadjoint orbits of Lie groups

DOI10.1007/BF01221217zbMath0578.58016WikidataQ115393843 ScholiaQ115393843MaRDI QIDQ1066534

A. M. Perelomov, S. A. Kamalin

Publication date: 1985

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

zbMATH Keywords

Lie groupsAlgebraization of dynamical systemsBorel subgroups of real splitmagnetohydrodynamical equationsorbits of coadjoint representation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Magnetohydrodynamics and electrohydrodynamics (76W05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General properties and structure of real Lie groups (22E15) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items

Constructing a complete integral of the Hamilton-Jacobi equation on pseudo-Riemannian spaces with simply transitive groups of motions, Lie algebraic aspects of the finite nonperiodic Toda flows, Sigma models as Gross-Neveu models. II, Elementary Toda orbits and integrable lattices, Construction of canonical coordinates of the orbits of the coadjoint representation of tensor extensions of Lie groups

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