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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 82–91 (Mi znsl3595)  
On constant $U_q(sl_2)$-invariant $R$-matrices

A. G. Bytsko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
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Abstract: The spectral resolution of a $U_q(sl_2)$-invariant solution $R$ of the constant Yang–Baxter equation in the braid group form is considered. It is shown that, if the two highest coefficients in this resolution are not equal, then $R$ is either the Drinfeld $R$-matrix or its inverse. Bibl. – 13 titles.
Key words and phrases: Yang–Baxter equation, constant $R$-matrices, spectral resolution.
Received: 24.02.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 6, Pages 805–810
DOI: https://doi.org/10.1007/s10958-010-0028-5
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Bytsko, “On constant $U_q(sl_2)$-invariant $R$-matrices”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 82–91; J. Math. Sci. (N. Y.), 168:6 (2010), 805–810
Citation in format AMSBIB
\Bibitem{Byt10}
\by A.~G.~Bytsko
\paper On constant $U_q(sl_2)$-invariant $R$-matrices
\inbook Questions of quantum field theory and statistical physics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 374
\pages 82--91
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3595}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 6
\pages 805--810
\crossref{https://doi.org/10.1007/s10958-010-0028-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955274919}
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