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

Authors: Konyaev A.Y.¹
Affiliations:
1. Faculty of Mechanics and Mathematics
Issue: Vol 97, No 2 (2018)
Pages: 137-139
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/225476
DOI: https://doi.org/10.1134/S1064562418020096
ID: 225476

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Abstract
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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.

About the authors

A. Yu. Konyaev

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: maodzund@ya.ru
Russian Federation, Moscow, 119991

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