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

Abstract

We construct a Fock space representation and the action of the two-parameter quantum algebra $U_{r,s}({\mathfrak{gl}}_{\infty })$ 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.

arXiv comment12 pp, 20 refs