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arxiv: 1712.03601 · v2 · submitted 2017-12-10 · 🧮 math.RT

An explicit isomorphism between quantum and classical sl(n)

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keywords algebraisomorphismquantumassociatedclassicalcomplexconstructdeformation
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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.

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