Graded decomposition numbers for cyclotomic Hecke algebras

Details Graded decomposition numbers for cyclotomic Hecke algebras Graded decomposition numbers for cyclotomic Hecke algebras

2009-01-28

arxiv.org/abs/0901.4450v3

Advances in Math. 222 (2009), 1883-1942.

Mathematics

Representation Theory

57 pages; final version

Scientific paper

10.1016/j.aim.2009.06.018

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.

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