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