R-matrix realization of two-parameter quantum affine algebra $U_{r,s}({\widehat{gl}}_n)$

Abstract

We introduce the two-parameter quantum affine algebra $U_{r,s}({\widehat{gl}}_n)$ via the RTT realization. The Drinfeld realization is given and the type A quantum affine algebra is proved to be a special subalgebra of our extended algebra.

24 pages