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 Cl(1)

Goran Trupčević

Faculty of Teacher Education, University of Zagreb, 10000 Zagreb, Croatia
e-mail: goran.trupcevic@ufzg.hr

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 vΛ, where 1 is a certain commutative subalgebra of . Based on the description of basis of W(Λ) for of type Cl(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.


Full text (PDF) (free access)

DOI: 10.3336/gm.53.1.08


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