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arxiv: 1509.02271 · v1 · pith:YGHRNFCHnew · submitted 2015-09-08 · 🧮 math.RT · math.QA

Two-parameter Quantum Affine Algebra of Type {mathrm C_n⁽¹⁾}, Drinfeld Realization and Vertex Representation

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keywords two-parameterdrinfeldquantumrealizationrepresentationvertexaffinealgebra
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The two-parameter quantum vertex operator representation of level-one is explicitly constructed for $U_{r,s}(C^{(1)}_n)$ based on its two-parameter Drinfeld realization we give. This construction will degenerate to the one-parameter case due to Jing-Koyama-Misra (\cite{JKM2}) when $rs=1$.

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