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

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

2007-03-15

arxiv.org/abs/math/0703447v2

Mathematics

Representation Theory

The revised version corrects minor points, the proof of lemma 3.3 has been improved

Scientific paper

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 $B_n$.

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