Quantization of Lie bialgebras, V
Quantum Algebra
2007-05-23 v1
Abstract
This paper is a continuation of "Quantization of Lie bialgebras I-IV". The goal of this paper is to define and study the notion of a quantum vertex operator algebra in the setting of the formal deformation theory and give interesting examples of such algebras. In particular, we construct a quantum vertex operator algebra from a rational, trigonometric, or elliptic R-matrix, which is a quantum deformation of the affine vertex operator algebra. The simplest vertex operator in this algebra is the quantum current of Reshetikhin and Semenov-Tian-Shansky.
Cite
@article{arxiv.math/9808121,
title = {Quantization of Lie bialgebras, V},
author = {Pavel Etingof and David Kazhdan},
journal= {arXiv preprint arXiv:math/9808121},
year = {2007}
}
Comments
22 pages, amstex. This is the 5-th part of the Quantization series, starting from q-alg/9506005