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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 88–98 (Mi znsl4483)  
This article is cited in 14 scientific papers (total in 14 papers)

Infinite series of Lie algebras and boundary conditions for integrable systems

V. B. Kuznetsov, A. V. Tsiganov
Full-text PDF (455 kB) Citations (14)
Abstract: We construct and study some new representations of the quadratic $R$-matrix algebras in classical and in quantum mechanics which are related to the Toda lattices associated with the classical simple Lie algebras. A new Lax representation for the Manakov top is presented. A dynamical $SO(2,1)$ algebra suited for the study of the adjoint Mathieu functions is constructed.
English version:
Journal of Soviet Mathematics, 1992, Volume 59, Issue 5, Pages 1085–1092
DOI: https://doi.org/10.1007/BF01480690
Bibliographic databases:
Document Type: Article
UDC: 51-72:530.145
Language: Russian
Citation: V. B. Kuznetsov, A. V. Tsiganov, “Infinite series of Lie algebras and boundary conditions for integrable systems”, Differential geometry, Lie groups and mechanics. Part 10, Zap. Nauchn. Sem. LOMI, 172, "Nauka", Leningrad. Otdel., Leningrad, 1989, 88–98; J. Soviet Math., 59:5 (1992), 1085–1092
Citation in format AMSBIB
\Bibitem{KuzTsi89}
\by V.~B.~Kuznetsov, A.~V.~Tsiganov
\paper Infinite series of Lie algebras and boundary conditions for integrable systems
\inbook Differential geometry, Lie groups and mechanics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 172
\pages 88--98
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015701}
\zmath{https://zbmath.org/?q=an:0779.35096|0697.35132}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 59
\issue 5
\pages 1085--1092
\crossref{https://doi.org/10.1007/BF01480690}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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