Geodesic
Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on~$\operatorname{gl}(n)$
Sbornik. Mathematics, Tome 211 (2020) no. 4, pp. 583-593

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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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     author = {A. Yu. Konyaev},
     title = {Completeness of commutative {Sokolov-Odesskii} subalgebras and {Nijenhuis} operators on~$\operatorname{gl}(n)$},
     journal = {Sbornik. Mathematics},
     pages = {583--593},
     publisher = {mathdoc},
     volume = {211},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2020_211_4_a4/}
}
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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/