2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70447We study preprojective algebras of graphs and their relationship to module categories over representations of quantum SL(2). As an application, ADE quiver varieties of Nakajima are shown to be subvarieties of the variety of representations of a certain associative algebra introduced by Lusztig.23 pages, exposition improvedRepresentation TheoryAlgebraic GeometryQuiver varieties and Lusztig's algebratext