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

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dc.creatorAriki, Susumu
dc.creatorJacon, Nicolas
dc.date2007-03-15
dc.date2007-12-11
dc.date.accessioned2026-07-07T08:48:26Z
dc.date.available2026-07-07T08:48:26Z
dc.descriptionWe 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 $B_n$.
dc.descriptionThe revised version corrects minor points, the proof of lemma 3.3 has been improved
dc.identifierhttps://arxiv.org/abs/math/0703447
dc.identifierhttp://arxiv.org/abs/math/0703447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143945
dc.subjectRepresentation Theory
dc.subject20C08; 17B37; 05E99
dc.titleDipper-James-Murphy's conjecture for Hecke algebras of type B
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