An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory

Details An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory An interpretation of the Lascoux-Leclerc-Thibon algorithm and graded representation theory

2009-10-30

arxiv.org/abs/0910.5940v1

Mathematics

Representation Theory

11 pages

Scientific paper

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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