2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229297We generalize Soergel's tilting algorithm to singular weights and deduce from this the validity of the Lascoux-Leclerc-Thibon conjecture on the connection between the canonical basis of the basic submodule of the Fock module and the representation theory of the Hecke-algebras at root of unity.Publised version with a typo fixed. J. Algebr. CombRepresentation Theorytext