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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 180–192 (Mi znsl1314)  

This article is cited in 3 scientific papers (total in 4 papers)

Symmetries related to Yang–Baxter equation and reflection equations

E. V. Damaskinskya, P. P. Kulishb

a Military Technical University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (223 kB) Citations (4)
Abstract: The short review of some of the main achievements obtained recently in investigations of the symmetry properties of systems solved by the quantum inverse scattering methods and connected with the Yang–Baxter equation and reflection equations are reviewed. Special attention is devoted to the twist procedure. Twist relates three constant $R$-matrices corresponding to Lie super-algebra $gl(1|1)$.
Received: 28.02.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 1986–1993
DOI: https://doi.org/10.1023/A:1022699729324
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. V. Damaskinsky, P. P. Kulish, “Symmetries related to Yang–Baxter equation and reflection equations”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 180–192; J. Math. Sci. (N. Y.), 115:1 (2003), 1986–1993
Citation in format AMSBIB
\Bibitem{DamKul00}
\by E.~V.~Damaskinsky, P.~P.~Kulish
\paper Symmetries related to Yang--Baxter equation and reflection equations
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 180--192
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805860}
\zmath{https://zbmath.org/?q=an:1092.82013}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 1986--1993
\crossref{https://doi.org/10.1023/A:1022699729324}
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  • https://www.mathnet.ru/eng/znsl/v269/p180
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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