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Feigin-Stoyanovsky's type subspace $W(\Lambda)$ of a standard$\tilde{{\mathfrak g}}$-module $L(\Lambda)$ is a $\tilde{{\mathfrakg}}_1$-submodule of $L(\Lambda)$ generated by the highest-weight vector$v_\Lambda$, where $\tilde{{\mathfrak g}}_1$ is a certain commutativesubalgebra of $\tilde{{\mathfrak g}}$. Based on the description of basis of$W(\Lambda)$ for $\tilde{{\mathfrak g}}$ of type $C_\ell^{(1)}$, we give apresentation of this subspace in terms of generators and relations$$W(\Lambda)\simeq U(\tilde{{\mathfrak g}}_1^-)/J.$$

Presentations of Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebras of type $C_\ell^{(1)}$