Presentations of Feigin-Stoyanovsky's type subspaces of standard modules for affine Lie algebras of type Cl(1)

Abstract

Abstract. Feigin-Stoyanovsky's type subspace W (Λ) of a standard g-module L(Λ) is ag 1 -submodule of L(Λ) generated by the highest-weight vector v Λ , whereg 1 is a certain commutative subalgebra ofg. Based on the description of basis of W (Λ) forg of type C(1) ℓ , we give a presentation of this subspace in terms of generators and relations