An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory
Representation Theory
2009-11-02 v1 Group Theory
Abstract
We use graded Specht modules to calculate the graded decomposition numbers for the Iwahori-Hecke algebra of the symmetric group over a field of characteristic zero at a root of unity. The algorithm arrived at is the Lascoux-Leclerc-Thibon algorithm in disguise. Thus we interpret the algorithm in terms of graded representation theory.
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Cite
@article{arxiv.0910.5940,
title = {An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory},
author = {Alexander S. Kleshchev and David Nash},
journal= {arXiv preprint arXiv:0910.5940},
year = {2009}
}
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11 pages