Jordan–Schwinger Representations and Factorised Yang–Baxter Operators

The construction elements of the factorised form of the Yang–Baxter $R$ operator acting on generic representations of $q$-deformed $s\ell(n+1)$ are studied. We rely on the iterative construction of such representations by the restricted class of Jordan–Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived.