2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62272In this paper we study the representation theory for certain ``half lattice vertex algebras.'' In particular we construct a large class of irreducible modules for these vertex algebras. We also discuss how the representation theory of these vertex algebras are related to the representation theory of some associative algebras.latex 24 pagesQuantum Algebratext