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Mathematics of the USSR-Sbornik, 1986, Volume 53, Issue 2, Pages 541–549
DOI: https://doi.org/10.1070/SM1986v053n02ABEH002955 (Mi sm2099) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Integrability of the Euler equations associated with filtrations of semisimple Lie algebras

I. V. Mykytyuk
English version PDF (498 kB) Citations (7)
References:
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DOI: https://doi.org/10.1070/SM1986v053n02ABEH002955
Abstract: Bogoyavlenskii proposed for symmetric operators a construction connected with filtrations of Lie algebras, for which the Euler equations have a large set of integrals. In this article integrability in the Liouville sense is proved for the Euler equations on a semisimple Lie algebra with symmetric operator constructed from a filtration of Lie algebras that is connected with a chain of involution automorphisms.
Bibliography: 9 titles.
Received: 20.09.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 125(167), Number 4(12), Pages 539–546
Bibliographic databases:
UDC: 512.54+517.9
MSC: Primary 17B20, 34C40; Secondary 17B40, 22E46, 58F05, 70E20, 70H99
Language: English
Original paper language: Russian
Citation: I. V. Mykytyuk, “Integrability of the Euler equations associated with filtrations of semisimple Lie algebras”, Mat. Sb. (N.S.), 125(167):4(12) (1984), 539–546; Math. USSR-Sb., 53:2 (1986), 541–549
Citation in format AMSBIB
\Bibitem{Myk84}
\by I.~V.~Mykytyuk
\paper Integrability of the Euler equations associated with filtrations of semisimple Lie algebras
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 125(167)
\issue 4(12)
\pages 539--546
\mathnet{http://mi.mathnet.ru/sm2099}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=770905}
\zmath{https://zbmath.org/?q=an:0601.58036|0578.58013}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 2
\pages 541--549
\crossref{https://doi.org/10.1070/SM1986v053n02ABEH002955}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:339
    Russian version PDF:101
    English version PDF:9
    References:71
     
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