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Quantization of Lie bialgebras, III

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arxiv q-alg/9610030 v2 pith:QOSEYDB7 submitted 1996-10-24 q-alg math.QA

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keywords quantizationalgebrabialgebrascurvefunctionsvaluedcaseconstruct
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abstract

In this paper we construct explicitly the quantization of Lie bialgebras of $\g$-valued functions on a punctured rational or elliptic curve, where $\g$ is a finite dimensional simple Lie algebra. by reducing the problem of quantization of the algebra of $\g$-valued functions on a curve with many punctures to the case of one puncture.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the quantum affine vertex algebra associated with trigonometric $R$-matrix

    math.QA 2019-08 conditional novelty 7.0 of 10

    Restricted modules for the quantum affine algebra in type A are equivalent, with submodule correspondence, to phi-coordinated modules for the Etingof-Kazhdan quantum affine vertex algebra with phi(z2,z0)=z2 e^{z0}.

  2. Invariants of the extended twisted $h$-Yangian

    math.QA 2026-07 conditional novelty 6.0 of 10

    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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