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paper

Graded decomposition numbers for cyclotomic Hecke algebras

arXiv:0901.4450 · doi:10.1016/j.aim.2009.06.018

Abstract

In recent joint work with Wang, we have constructed graded Specht modules for cyclotomic Hecke algebras. In this article, we prove a graded version of the Lascoux-Leclerc-Thibon conjecture, describing the decomposition numbers of graded Specht modules over a field of characteristic zero.

57 pages; final version