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

Abstract

In this paper, we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra $U_{p,q}(\widehat{\mathfrak{gl}}(m|n))$ and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

20 pages, update

References in corpus (5)

• Two-parameter Quantum Affine Algebra $U_{r,s}(\widehat{{\mathfrak{sl}}_n})$, Drinfel'd Realization and Quantum Affine Lyndon Basis
• R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$
• $RLL$-realization of two-parameter quantum affine algebra in type $D_n^{(1)}$
• $RLL$-realization of two-parameter quantum affine algebra in type $C_n^{(1)}$
• The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra $U_{r,s}(\widehat{{\mathfrak{so}}_{2n+1}})$