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Completeness of Some Commutative Subalgebras Associated with Nijenhuis Operators on Lie Algebras

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Abstract

We prove the completeness of commutative subalgebras in S(gl(n)) constructed from the Sokolov–Odesskii Lie pencil with generic parameters.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    A. Yu. Konyaev

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  1. A. Yu. Konyaev
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Correspondence to A. Yu. Konyaev.

Additional information

Original Russian Text © A.Yu. Konyaev, 2018, published in Doklady Akademii Nauk, 2018, Vol. 479, No. 3, pp. 247–249.

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Konyaev, A.Y. Completeness of Some Commutative Subalgebras Associated with Nijenhuis Operators on Lie Algebras. Dokl. Math. 97, 137–139 (2018). https://doi.org/10.1134/S1064562418020096

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  • DOI: https://doi.org/10.1134/S1064562418020096

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