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We introduce higher level $q$-oscillator representations for the quantumaffine (super)algebras of type $C_n^{(1)},C^{(2)}(n+1)$ and $B^{(1)}(0,n)$.These representations are constructed by applying the fusion procedure to thelevel one $q$-oscillator representations which were obtained through thestudies of the tetrahedron equation. We prove that these higher level$q$-oscillator representations are irreducible. For type $C_n^{(1)}$ and$C^{(2)}(n+1)$, we compute their characters explicitly in terms of Schurpolynomials.

Higher level $q$-oscillator representations for $U_q(C_n^{(1)}),U_q(C^{(2)}(n+1))$ and $U_q(B^{(1)}(0,n))$