The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm
Representation Theory
2009-05-05 v1
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.
Cite
@article{arxiv.0905.0432,
title = {The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm},
author = {Steen Ryom-Hansen},
journal= {arXiv preprint arXiv:0905.0432},
year = {2009}
}
Comments
Publised version with a typo fixed. J. Algebr. Comb