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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 347, Pages 88–106 (Mi znsl75)  
This article is cited in 1 scientific paper (total in 1 paper)

Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$

P. A. Valinevicha, S. È. Derkachevb, D. R. Karakhanyanc, R. Kirshnerd

a Saint-Petersburg State University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
c Yerevan Physics Institute
d Universität Leipzig
Full-text PDF (256 kB) Citations (1)
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Abstract: The Yang–Baxter operator is obtained in terms a product of operators permuting representation parameters in the Lax operators.
The construction relies on a factorization of the Lax operator in triangular matrices.
Received: 12.11.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 2, Pages 2848–2858
DOI: https://doi.org/10.1007/s10958-008-9005-7
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: P. A. Valinevich, S. È. Derkachev, D. R. Karakhanyan, R. Kirshner, “Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$”, Questions of quantum field theory and statistical physics. Part 20, Zap. Nauchn. Sem. POMI, 347, POMI, St. Petersburg, 2007, 88–106; J. Math. Sci. (N. Y.), 151:2 (2008), 2848–2858
Citation in format AMSBIB
\Bibitem{ValDerKar07}
\by P.~A.~Valinevich, S.~\`E.~Derkachev, D.~R.~Karakhanyan, R.~Kirshner
\paper Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$
\inbook Questions of quantum field theory and statistical physics. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 347
\pages 88--106
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2458886}
\elib{https://elibrary.ru/item.asp?id=13596828}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 2
\pages 2848--2858
\crossref{https://doi.org/10.1007/s10958-008-9005-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249104869}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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