2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143409The main result of this paper is two infinity classes of series-product identities which is based on classical Gauss identity and two different interpretations of character formula for irreducible highest weight modules of affine Lie algebras.21 pagesRepresentation TheoryNumber Theory17B67, 17B65An Extension of the Classical Gauss Series-product Identity by Fermionic Construction of \hat{sl}_ntext