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On constant Uq(sl 2)-invariant R-matrices

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We consider the spectral resolution of a Uq (sl 2)-invariant solution R of the constant Yang–Baxter equation in the braid group form. 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. Bibliography: 13 titles.

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  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    A. G. Bytsko

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  1. A. G. Bytsko
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Correspondence to A. G. Bytsko.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 374, 2010, pp. 82–91.

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Bytsko, A.G. On constant Uq(sl 2)-invariant R-matrices. J Math Sci 168, 805–810 (2010). https://doi.org/10.1007/s10958-010-0028-5

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  • DOI: https://doi.org/10.1007/s10958-010-0028-5

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