The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm
arXiv:0905.0432
Abstract
We 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. Comb