Ryom-Hansen, Steen

The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm.

J. Algebr. Comb. 23(1), 5-20 (2006)
DOI: 10.1007/s10801-006-6026-5


Summary: 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.


keywords tilting modules, crystal basis, Fock module, kashdan-Lusztig polynomials