Dipper-James-Murphy's conjecture for Hecke algebras of type B
Representation Theory
2007-12-11 v2
Abstract
We prove a conjecture by Dipper, James and Murphy that a bipartition is restricted if and only if it is Kleshchev. Hence the restricted bipartitions naturally label the crystal graphs of level two irreducible integrable -modules and the simple modules of Hecke algebras of type .
Keywords
Cite
@article{arxiv.math/0703447,
title = {Dipper-James-Murphy's conjecture for Hecke algebras of type B},
author = {Susumu Ariki and Nicolas Jacon},
journal= {arXiv preprint arXiv:math/0703447},
year = {2007}
}
Comments
The revised version corrects minor points, the proof of lemma 3.3 has been improved