Quantization of Lie bialgebras, II

Details Quantization of Lie bialgebras, II Quantization of Lie bialgebras, II

1997-01-29

arxiv.org/abs/q-alg/9701038v2

Mathematics

Quantum Algebra

17 pages, amstex; some minor misprints and errors were corrected

Scientific paper

This paper is a continuation of "Quantization of Lie bialgebras, I" (q-alg/9606005). We show that the quantization procedure defined in "Quantization of Lie bialgebras, I" is given by universal acyclic formulas and defines a functor from the category of Lie bialgebras to the category of quantized universal enveloping algebras. We also show that this functor defines an equivalence between the category of Lie bialgebras over k[[h]] and the category quantized universal enveloping (QUE) algebras.

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