Fusion procedure for the two-parameter quantum algebra $U_{r,s}(sl_n)$

Irreducible modules of the two-parameter quantum enveloping algebra $U_{r,s}(\mathfrak{sl}_n)$ are explicitly constructed using the fusion procedure, when $rs^{-1}$ is not a root of unity. This provides an alternative and combinatorial description of the Schur-Weyl duality for two-parameter quantum algebras of type $A$.