CONSTRUCTION OF GENERAL COLORED R MATRICES FOR THE YANG-BAXTER EQUATION AND q-BOSON REALIZATION OF QUANTUM ALGEBRA sl q(2) WHEN q IS A ROOT OF UNITY
Mo‐Lin Ge, Chang-Pu Sun, Kang Xue · International Journal of Modern Physics A · 1992
Through a general q-boson realization of quantum algebra sl q(2) and its universal R matrix an operator R matrix with many parameters is obtained in terms of q-boson operators. Building finite-dimensional representations of q-boson algebra, we construct various colored R matrices associated with nongeneric representations of sl q(2) with dimension-independent parameters. The “nonstandard” R matrices obtained by Lee-Couture and Murakami are their special examples. We also study the factorizable structure of some Rmatrices for the indecomposable representations used in its construction.