Geodesic
Integrable Hamiltonian systems on low-dimensional Lie algebras
Sbornik. Mathematics, Tome 200 (2009) no. 12, pp. 1731-1766

Voir la notice de l'article provenant de la source Math-Net.Ru

For any real Lie algebra of dimension 3, 4 or 5 and any nilpotent algebra of dimension 6 an integrable Hamiltonian system with polynomial coefficients is found on its coalgebra. These systems are constructed using Sadetov's method for constructing complete commutative families of polynomials on a Lie coalgebra. Bibliography: 17 titles.
Keywords: integrable Hamiltonian systems, complete commutative families of polynomials, Sadetov's method. 
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     author = {A. A. Korotkevich},
     title = {Integrable {Hamiltonian} systems on low-dimensional {Lie} algebras},
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A. A. Korotkevich. Integrable Hamiltonian systems on low-dimensional Lie algebras. Sbornik. Mathematics, Tome 200 (2009) no. 12, pp. 1731-1766. http://geodesic.mathdoc.fr/item/SM_2009_200_12_a0/