A Hopf algebra isomorphism between two realizations of the quantum affine algebra Uq(gl(2))
Abstract
We consider the algebra isomorphism found by Frenkel and Ding between the RLL and the Drinfeld realizations of Uq(gl(2)). After we note that this is not a Hopf algebra isomorphism, we prove that there is a unique Hopf algebra structure for the Drinfeld realization so that this isomorphism becomes a Hopf algebra isomorphism. Though more complicated, this Hopf algebra structure is also closed, just as the one found previously by Drinfeld.
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