2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222082In this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra. As a consequence of this, we obtain a classification of simple Whittaker modules for such algebras. Also, we study some concrete algebras as examples.11pages, fixed a number of errorsRepresentation Theory17B10; 17B10; 17B68text