2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99066We present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. When a certain commutative subalgebra is finitely generated over an algebraically closed field we obtain a classification of a class of locally finite simple weight modules as those induced from simple modules over a subalgebra isomorphic to a tensor product of noncommutative tori. As an application we describe simple weight modules over the quantized Weyl algebra.28 pagesRepresentation TheoryQuantum Algebra16G99 (Primary); 16D60, 81R10, 17B37 (Secondary)text