$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$

Abstract

We establish the realization of the Reshetikhin-Semenov-Tian-Shansky (RS) superalgebra for two parameter quantum affine superalgebra $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$. We find a simple coproduct for the Drinfeld generators and obtain a Hopf superalgebra structure for this quantum affine superalgebra.