Quantization of Lie bialgebras, V

Details Quantization of Lie bialgebras, V Quantization of Lie bialgebras, V

1998-08-28

arxiv.org/abs/math/9808121v1

Mathematics

Quantum Algebra

22 pages, amstex. This is the 5-th part of the Quantization series, starting from q-alg/9506005

Scientific paper

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.

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