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
References in corpus (2)
Cited by in corpus (4)
- Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
- The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation
- Representations of Khovanov-Lauda-Rouquier Algebras and Combinatorics of Lyndon Words
- Representation Theory of Symmetric Groups and Related Hecke Algebras