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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 251, Pages 260–272 (Mi znsl682)  
Classical integrable systems amd automorphisms of representations of $SL(2)$

A. V. Tsiganov

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (207 kB)
Abstract: Outer automorphisms of infinite-dimensional representations of $sl(2)$ algebra are applied to produce some classical integrable systems with continuous and discrete time. The associated Lax pairs and $r$-matrix algebras are constructed.
Received: 15.10.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 3, Pages 1247–1254
DOI: https://doi.org/10.1023/A:1011365427319
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. V. Tsiganov, “Classical integrable systems amd automorphisms of representations of $SL(2)$”, Questions of quantum field theory and statistical physics. Part 15, Zap. Nauchn. Sem. POMI, 251, POMI, St. Petersburg, 1998, 260–272; J. Math. Sci. (New York), 104:3 (2001), 1247–1254
Citation in format AMSBIB
\Bibitem{Tsi98}
\by A.~V.~Tsiganov
\paper Classical integrable systems amd automorphisms of representations of $SL(2)$
\inbook Questions of quantum field theory and statistical physics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 251
\pages 260--272
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737879}
\zmath{https://zbmath.org/?q=an:0986.37051}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 3
\pages 1247--1254
\crossref{https://doi.org/10.1023/A:1011365427319}
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