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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 gl(n)

A. Yu. Konyaev

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
English version PDF (449 kB) Citations (3) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9251
Abstract: We prove the completeness of commutative subalgebras in the algebra S(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
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 gl(n)”, Sb. Math., 211:4 (2020), 583–593
Citation in format AMSBIB
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\by A.~Yu.~Konyaev
\paper Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on~$\operatorname{gl}(n)$
\jour Sb. Math.
\yr 2020
\vol 211
\issue 4
\pages 583--593
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\crossref{https://doi.org/10.1070/SM9251}
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Linking options:
  • https://www.mathnet.ru/eng/sm9251
  • https://doi.org/10.1070/SM9251
  • https://www.mathnet.ru/eng/sm/v211/i4/p112
    • This publication is cited in the following 3 articles:
    1. D. Akpan, “Singularities of two-dimensional Nijenhuis operators”, Eur. J. Math., 8:4 (2022), 1328–1340  crossref  mathscinet  zmath
    2. D. Zh. Akpan, “Almost differentially nondegenerate Nijenhuis operators”, Russ. J. Math. Phys., 29:4 (2022), 413–416  crossref  mathscinet  zmath
    3. K. S. Vorushilov, “Complete sets of polynomials in bi-involution on nilpotent seven-dimensional Lie algebras”, Sb. Math., 212:9 (2021), 1193–1207  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:440
    Russian version PDF:80
    English version PDF:27
    References:64
    First page:28
     
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