Quantization of Lie bialgebras, III
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
In this paper we construct explicitly the quantization of Lie bialgebras of -valued functions on a punctured rational or elliptic curve, where is a finite dimensional simple Lie algebra. by reducing the problem of quantization of the algebra of -valued functions on a curve with many punctures to the case of one puncture.
Keywords
Cite
@article{arxiv.q-alg/9610030,
title = {Quantization of Lie bialgebras, III},
author = {Pavel Etingof and David Kazhdan},
journal= {arXiv preprint arXiv:q-alg/9610030},
year = {2008}
}
Comments
32 pages, amstex. In the revised version, many formulas were changed to fit some standard notations, and a number of errors in formulas were corrected. The unitarity condition for copseudotriangular structures was removed as irrelevant. The proof of Theorem 1.18 was written in more detail. Proposition 3.9, which was incorrectly formulated in the original version, was changed