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

Abstract

GORAN TRUP ČEVI ĆSažetak. Feigin-Stoyanovsky's type subspace W (Λ) of a standard g-module L(Λ) is a g1 -submodule of L(Λ) generated by the highest-weight vector v Λ , where g1 is a certain commutative subalgebra of g. Based on the description of basis of W (Λ) for g of type C(1)ℓ , we give a presentation of this subspace in terms of generators and relations W (Λ) ≃ U (g − 1 )/J.