  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.
