Combinatorial relations among relations of C₂(1)-standard modules for higher levels

For an affine Lie algebra ĝ the coefficients of certain vertex operators which annihilate level k standard ĝ-modules are the defining relations for level k standard modules. In the paper {PS3} combinatorial structure of the leading terms of mentioned relations for level $k=2$ standard ĝ-modules and affine Lie algebras of type Cₙ(1) is given. The main result of this paper is a construction of combinatorially parameterized relations among relations of C₂(1)-standard modules for all levels.