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There are many sources of the relations and Hopf algebra structure of quantum affine $sl_2$ as a deformed enveloping algebra. However, for an application to integrable systems I need to look at quantum affine $gl_2$, not $sl_2$. Also it would be really good to see how this fits into the Drinfeld realisation with the $h_r$ and $x^\pm_r$ for $r\in\mathbb{Z}$. I would be very grateful if someone could point me in the right direction.

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I guess you mean the following presentation in terms of generators and relations:

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The excerpt is from:

I think the OP might also find some interest at:

You can also see (both Jimbo's and Drinfeld's presentation of the quantum affine $sl_2$) at:

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  • $\begingroup$ Many thanks for that! Is there any particular reason why the degree operator is left out? I assume that it could be put back in... $\endgroup$ – Edwin Beggs May 20 at 7:31

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