Geodesic
Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1193-1207

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In this paper, we construct complete sets of polynomials in bi-involution on nilpotent Lie algebras of dimension 7 in the list due to Gong. Thus we verify the generalized Mishchenko-Fomenko conjecture for all algebras in this list. Bibliography: 14 titles.
Keywords: integrable Hamiltonian systems, complete commutative sets of polynomials, argument shift method.
Mots-clés : Lie algebras 
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     author = {K. S. Vorushilov},
     title = {Complete sets of polynomials in bi-involution on nilpotent seven-dimensional {Lie} algebras},
     journal = {Sbornik. Mathematics},
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     publisher = {mathdoc},
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     number = {9},
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     url = {http://geodesic.mathdoc.fr/item/SM_2021_212_9_a0/}
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K. S. Vorushilov. Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras. Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1193-1207. http://geodesic.mathdoc.fr/item/SM_2021_212_9_a0/