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arXiv:math/0703447 [math.RT]AbstractReferencesReviewsResources

Dipper-James-Murphy's conjecture for Hecke algebras of type B

Susumu Ariki, Nicolas Jacon

Published 2007-03-15, updated 2007-12-11Version 2

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 $\mathcal{U}_v({\hat{\mathfrak{sl}}_e})$-modules and the simple modules of Hecke algebras of type $B_n$.

Comments: The revised version corrects minor points, the proof of lemma 3.3 has been improved
Categories: math.RT
Subjects: 20C08, 17B37, 05E99
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