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

preprint2015arXivOpen access

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

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

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