Glasnik Matematicki, Vol. 53, No. 1 (2018), 115-121.

PRESENTATIONS OF FEIGIN-STOYANOVSKY'S TYPE SUBSPACES OF STANDARD MODULES FOR AFFINE LIE ALGEBRAS OF TYPE C_l⁽¹⁾

Goran Trupčević

Abstract.   Feigin-Stoyanovsky's type subspace W(Λ) of a standard -module L(Λ) is a ₁-submodule of L(Λ) generated by the highest-weight vector v_Λ, where ₁ is a certain commutative subalgebra of . Based on the description of basis of W(Λ) for of type C_l⁽¹⁾, we give a presentation of this subspace in terms of generators and relations W(Λ)≃ U(₁^-)/J.

2010 Mathematics Subject Classification.   17B67, 17B69, 05A19.

Key words and phrases.   Affine Lie algebras, principal subspaces, generators and relations.

DOI: 10.3336/gm.53.1.08

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