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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 82–91
(Mi znsl3595)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl3595 https://www.mathnet.ru/eng/znsl/v374/p82
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Abstract page: | 171 | Full-text PDF : | 50 | References: | 35 |
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