Glasnik Matematicki, Vol. 52, No. 1 (2017), 79-98.

QUASI-PARTICLE BASES OF PRINCIPAL SUBSPACES OF THE AFFINE LIE ALGEBRA OF TYPE G₂⁽¹⁾

Marijana Butorac

Abstract.   The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight kΛ₀ of level k≥ 1 of affine Lie algebra of type G₂⁽¹⁾ by means of which we obtain the basis of principal subspace of generalized Verma module.

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

Key words and phrases.   Affine Lie algebras, vertex operator algebras, principal subspaces, quasi-particle bases.

DOI: 10.3336/gm.52.1.06

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