scientific article

zbMath0488.70013MaRDI QIDQ3950021

A. G. Reyman

Publication date: 1980

Full work available at URL: https://eudml.org/doc/68813

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lax formcoadjoint representationgeneralized Toda latticescommutator representationcompact configuration spacesfactorization problem in appropriate Lie groupgeometric translation of Adler's methodhigher-dimensional topsintegrals of motion in involutionKirillov-Kostant symplectic structurelinear and quadratic potentialsNovikov spectral parameterparabolic decompositions of semisimple Lie algebrasphase space is cotangent bundleSouriau-Sternberg-Marsden-Weinstein theory of reductionsplitting into kinetic energy and potential energymotions of point in homogeneous spaces

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse problems for PDEs (35R30) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Graded Lie (super)algebras (17B70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50) Motion of the gyroscope (70E05) Hamiltonian and Lagrangian mechanics (70Hxx)

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