A Hopf algebra isomorphism between two realizations of the quantum affine algebra $U_q(\widehat{gl(2)})$

Details A Hopf algebra isomorphism between two realizations of the quantum affine algebra $U_q(\widehat{gl(2)})$ A Hopf algebra isomorphism between two realizations of the quantum affine algebra $U_q(\widehat{gl(2)})$

1997-01-02

arxiv.org/abs/q-alg/9701004v1

Mathematics

Quantum Algebra

8 pages, Latex

Scientific paper

We consider the algebra isomorphism found by Frenkel and Ding between the RLL and the Drinfeld realizations of $U_q(\widehat{gl(2)})$. 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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