An explicit isomorphism between quantum and classical sl(n)
Representation Theory
2026-04-17 v2
Abstract
Let g be a complex, semisimple Lie algebra. Drinfeld showed that the quantum group associated to g is isomorphic as an algebra to the trivial deformation of the universal enveloping algebra of g. In this paper we construct explicitly such an isomorphism when g = sl(n), previously known only for n=2.
Keywords
Cite
@article{arxiv.1712.03601,
title = {An explicit isomorphism between quantum and classical sl(n)},
author = {Andrea Appel and Sachin Gautam},
journal= {arXiv preprint arXiv:1712.03601},
year = {2026}
}
Comments
32 pages. Slightly modified introduction. To appear in Transformation Groups