2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125507Several bases of the Garsia-Haiman modules for hook shapes are given, as well as combinatorial decomposition rules for these modules. These bases and rules extend the classical ones for the coinvariant algebra of type $A$. We also give a decomposition of the Garsia-Haiman modules into descent representations.34 pages; 7 figuresRepresentation TheoryCombinatoricstext