On the bosonization of $L$-operators for quantum affine algebra $U_q(\mathfrak{sl}_2)$

Some relations between different objects associated with quantum affine algebras are reviewed. It is shown that the Frenkel–Jing bosonization of a new realization of the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_2)$ as well as bosonization of $L$-operators for this algebra can be obtained from Zamolodchikov–Faddeev algebras defined by the quantum $R$-matrix satisfying unitarity and crossing-symmetry conditions.