2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159077We study representations of nilpotent type nontrivial liftings of quantum linear spaces and their Drinfel'd quantum doubles. We construct a family of Verma- type modules in both cases and prove a parametrization theorem for simple modules. We compute the Loewy and socle series of Verma modules under a mild restriction on the datum of a lifting. We find bases and dimensions of simple modules.Quantum AlgebraRepresentations of pointed Hopf algebras and their Drinfel'd quantum doublestext