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Quantization of Lie bialgebras, V
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Quantization of Lie bialgebras, V
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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.
Forward citations
Cited by 2 Pith papers
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Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$
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Invariants of the extended twisted $h$-Yangian
The extended twisted h-Yangian is shown to carry restricted-module and φ-coordinated quasi-module structures that yield central elements, invariants, and commutative families in the orthogonal and symplectic h-Yangians.
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