Geodesic
Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on $\operatorname{gl}(n)$
Sbornik. Mathematics, Tome 211 (2020) no. 4, pp. 583-593 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove the completeness of commutative subalgebras in the algebra $S(\operatorname{gl}(n))$ constructed from the algebraic Nijenhuis operators. The operators in question were proposed by Sokolov and Odesskii. Bibliography: 17 titles.
Keywords: integrable systems, algebraic Nijenhuis operators, Lie pencils.
Mots-clés : Lie algebras 
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A. Yu. Konyaev. Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on $\operatorname{gl}(n)$. Sbornik. Mathematics, Tome 211 (2020) no. 4, pp. 583-593. http://geodesic.mathdoc.fr/item/SM_2020_211_4_a4/

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