%0 Journal Article %T Jordan-Schwinger Representations and Factorised Yang-Baxter Operators %A David Karakhanyan %A Roland Kirschner %J Symmetry, Integrability and Geometry : Methods and Applications %D 2010 %I National Academy of Science of Ukraine %X The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(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. %K Yang-Baxter equation %K factorisation method %U http://dx.doi.org/10.3842/SIGMA.2010.029