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Ilyushechkin, N. V.

Über die Mannigfaltigkeit der vollständig integrierbaren linksinvarianten Metriken auf einer halbeinfachen Lieschen Gruppe. (Russian) Zbl 0421.58011

Vestn. Mosk. Univ., Ser. I 1979, No. 3, 35-77 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0421.58011

Cited in 1 Review

MSC:

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
17B20 Simple, semisimple, reductive (super)algebras
70G99 General models, approaches, and methods in mechanics of particles and systems

Keywords:

Hamiltonian dynamical systems; semisimple complex Lie algebra; completely integrable; diagonal form in the root basis
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