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

2009/05/04 by Steen Ryom-Hansen, Ryom-Hansen, Steen
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Random Matrices and Applications #math.RT

paper · pdf · doi:10.48550/arxiv.0905.0432

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

arxiv created 2009/05/04 · arxiv updated 2009/12/01

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.

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