Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution. (English. Russian original) Zbl 0744.58030

Bolsinov, A. V.

Math. USSR, Izv. 38, No. 1, 69-90 (1992); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 55, No. 1, 68-92 (1991).

See the review in Zbl 0731.58026.

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.)
70E15	Free motion of a rigid body

Keywords:

Poisson structure; rigid body motion; integrable Hamiltonian systems