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Factorization of the r-matrix for the quantum algebra Uq(sl n )

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We propose a method for construction of the general solution of the Yang–Baxter equation with the U q (sℓ n ) symmetry algebra. This method is based on the factorization property of the corresponding L-operator. We present a closed-form expression for the universal R-matrix in the form of a difference operator acting on the space of functions of n(n − 1) variables. Bibliography: 16 titles.

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  1. St. Petersburg State University, St. Petersburg, Russia

    P. A. Valinevih

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  1. P. A. Valinevih
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Correspondence to P. A. Valinevih.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 374, 2010, pp. 92–106.

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Valinevih, P.A. Factorization of the r-matrix for the quantum algebra Uq(sl n ). J Math Sci 168, 811–819 (2010). https://doi.org/10.1007/s10958-010-0029-4

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