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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 120, Pages 92–121 (Mi znsl4011)  

This article is cited in 18 scientific papers (total in 19 papers)

On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems

P. P. Kulish, N. Yu. Reshetikhin
Citations (19)
Abstract: Invariant finite dimensional solutions to the Yang–Baxter equation are considered for the group $GL_3$. Algebraic relations for transfer matricies demonstrate a connection between representation theory and Bethe Ansatz. The classical and quantum models associated with considered solutions are listed.
Bibliographic databases:
Document Type: Article
UDC: 530.145+517.98
Language: Russian
Citation: P. P. Kulish, N. Yu. Reshetikhin, “On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems”, Questions of quantum field theory and statistical physics. Part 3, Zap. Nauchn. Sem. LOMI, 120, "Nauka", Leningrad. Otdel., Leningrad, 1982, 92–121
Citation in format AMSBIB
\Bibitem{KulRes82}
\by P.~P.~Kulish, N.~Yu.~Reshetikhin
\paper On $GL_3$-invariant solutions to the Yang--Baxter equation and the assosiated quantum systems
\inbook Questions of quantum field theory and statistical physics. Part~3
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 120
\pages 92--121
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=701555}
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  • https://www.mathnet.ru/eng/znsl4011
  • https://www.mathnet.ru/eng/znsl/v120/p92
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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