Geodesic
Limits of Integrable Hamiltonians on Semisimple Lie Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 39-50

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It is proved that the limit of integrable Hamiltonians on a semisimple Lie algebra is an integrable Hamiltonian. Some limits of integrable Hamiltonians obtained by the argument shift method such that these limits themselves cannot be obtained by this method are constructed.
Mots-clés : Poisson algebra
Keywords: Hamiltonian system, complete integrability, semisimple Lie algebra, transcendence degree, Gelfand–Kirillov dimension. 
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     author = {\`E. B. Vinberg},
     title = {Limits of {Integrable} {Hamiltonians} on {Semisimple} {Lie} {Algebras}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     volume = {48},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a1/}
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È. B. Vinberg. Limits of Integrable Hamiltonians on Semisimple Lie Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 39-50. http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a1/