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Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras
Sbornik. Mathematics, Tome 212 (2021) no. 9, pp. 1193-1207 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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