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arxiv: 1503.02228 · v1 · pith:OBKNRS3Nnew · submitted 2015-03-07 · 🧮 math.QA

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

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keywords two-parameteralgebraquantumaffinerealizationrepresentationactionconstruct
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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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