2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106152We show that the support of an irreducible weight module over the twisted Heisenberg-Virasoro algebra, which has an infinite dimensional weight space, coincides with the weight lattice and that all nontrivial weight spaces of such a module are infinite dimensional. As a corollary, we obtain that every irreducible weight module over the twisted Heisenberg-Virasoro algebra, having a nontrivial finite dimensional weight space, is a Harish-Chandra module (and hence is either an irreducible highest or lowest weight module or an irreducible module from the intermediate seriesLaTeX, 5 pagesRepresentation TheoryQuantum Algebra17B56; 17B68text