2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75080Based on work of Rouquier, some bounds for Aulander's representation dimension are discussed. More specifically, if X is a reduced projective scheme of dimension n over some field, and T is a tilting complex of coherent O_X-modules, then the representation dimension of the endomorphism algebra of T is at least n.Revised version; some details are addedRepresentation TheoryAlgebraic Geometrytext