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Sbornik: Mathematics, 2020, Volume 211, Issue 4, Pages 583–593
DOI: https://doi.org/10.1070/SM9251 (Mi sm9251) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on $\operatorname{gl}(n)$

A. Yu. Konyaev

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (449 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM9251
Abstract: 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: Lie algebras, integrable systems, algebraic Nijenhuis operators, Lie pencils.
Funding agency Grant number
Russian Science Foundation 17-11-01303
This research was supported by a grant of the Russian Science Foundation (project no. 17-11-01303).
Received: 22.03.2019 and 25.10.2019
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 4, Pages 112–122
DOI: https://doi.org/10.4213/sm9251
Bibliographic databases:
Document Type: Article
UDC: 512.554.31+517.913
MSC: Primary 17B80; Secondary 17B45
Language: English
Original paper language: Russian
Citation: A. Yu. Konyaev, “Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on $\operatorname{gl}(n)$”, Mat. Sb., 211:4 (2020), 112–122; Sb. Math., 211:4 (2020), 583–593
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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