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

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

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BibTeXRIS

Susumu Ariki, Nicolas Jacon. 2007-12-11. Dipper-James-Murphy's conjecture for Hecke algebras of type B. https://arxiv.org/abs/math/0703447

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