Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$

We propose the method for constructing the general solution of the Yang–Baxter equation with $U_q(s\ell_n)$ algebra symmetry, which is based on the factorization property of the corresponding $L$-operator. We present the closed-form expression for the universal $R$-matrix being the difference operator acting on the space of functions of $n(n-1)$ variables. Bibl. – 16 titles.