Quantization of Lie bialgebras, II |
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| Authors: | P Etingof D Kazhdan |
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| Institution: | (1) Department of Mathematics, Harvard University, Cambridge, MA 02138, USA, e-mail: etingof@math.harvard.edu, e-mail: kazhdan@math.harvard.edu , US |
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| Abstract: | This paper is a continuation of EK]. We show that the quantization procedure of EK] 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 of quantized universal enveloping (QUE) algebras. |
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| Keywords: | , Lie bialgebra, Hopf algebra, quantum group, quantization, Yang-Baxter equation, |
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