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

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

2009-05-04

arxiv.org/abs/0905.0432v1

Mathematics

Representation Theory

Publised version with a typo fixed. J. Algebr. Comb

Scientific paper

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.

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