Commutative families of functions related to consistent Poisson brackets

DOI10.1007/BF00047046zbMath0746.58035MaRDI QIDQ1181704

Alexei V. Bolsinov

Publication date: 27 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

integrabilitymomentum mapsargument shift methodcompleteness of system of first integrals

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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Cites Work

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• Spinors of 13-dimensional space
• Generalized Liouville method of integration of Hamiltonian systems
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
• A simple model of the integrable Hamiltonian equation
• A Classification of Spinors Up to Dimension Twelve
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