A Hopf algebra isomorphism between two realizations of the quantum affine algebra $U_q(\widehat{gl(2)})$
q-alg
2016-09-08 v1 Quantum Algebra
Abstract
We consider the algebra isomorphism found by Frenkel and Ding between the RLL and the Drinfeld realizations of . 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.
Keywords
Cite
@article{arxiv.q-alg/9701004,
title = {A Hopf algebra isomorphism between two realizations of the quantum affine algebra $U_q(\widehat{gl(2)})$},
author = {A. H. Bougourzi and A. Sebbar},
journal= {arXiv preprint arXiv:q-alg/9701004},
year = {2016}
}
Comments
8 pages, Latex