Quantization of Lie bialgebras, II
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9701038,
title = {Quantization of Lie bialgebras, II},
author = {Pavel Etingof and David Kazhdan},
journal= {arXiv preprint arXiv:q-alg/9701038},
year = {2008}
}
Comments
17 pages, amstex; some minor misprints and errors were corrected