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arXiv · 1503.02228

Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(C_l^{(1)})$

Naihuan Jing·Honglian Zhang
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Abstract

We construct a Fock space representation and the action of the two-parameter quantum algebra $U_{r,s}(\frak{gl}_{\infty})$ using extended Young diagrams. In particular, we obtain an integrable representation of the two-parameter quantum affine algebra of type $C_n^{(1)}$ which is a two-parameter generalization of Kang-Misra-Miwa's realization.

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BibTeXRIS

Naihuan Jing, Honglian Zhang. 2015-03-07. Fermionic realization of two-parameter quantum affine algebra $U_{r,s}(C_l^{(1)})$. https://arxiv.org/abs/1503.02228

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