most recent 30 from http://mathoverflow.net 2013-06-20T06:38:19Z http://mathoverflow.net/feeds/user/22830 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/93778/does-there-exist-any-quantum-lie-algebra-embeded-into-the-quantum-enveloping-al/93784#93784 Jake 2012-04-11T17:15:00Z 2012-04-11T17:15:00Z

<p>Two seemingly easy to read references are given in the papers 'An introduction to Quantum Lie Algebras' by Delius which is available here: <a href="http://arxiv.org/pdf/q-alg/9605026v1.pdf" rel="nofollow">http://arxiv.org/pdf/q-alg/9605026v1.pdf</a> and 'Quantum Lie Algebras associated to $U_q(\mathfrak{gl}_2)$ and $U_q(\mathfrak{sl}_2)$' available here: <a href="http://arxiv.org/pdf/q-alg/9508013v1.pdf" rel="nofollow">http://arxiv.org/pdf/q-alg/9508013v1.pdf</a></p> <p>They explicitly deal with quantized $\mathfrak{sl}_2$; the first link in terms of $U_h(\mathfrak{sl}_2)$ and the second in terms of $U_q(\mathfrak{sl}_2)$ which it would appear is the case you are interested in.</p> <p>These are from the nineties so I am sure more modern references are available.</p>