Crystal graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki-Koike algebras

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dc.creatorJacon, Nicolas
dc.date2005-04-13
dc.date2006-03-13
dc.date.accessioned2026-07-07T06:39:47Z
dc.date.available2026-07-07T06:39:47Z
dc.descriptionWe show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}\_q (\hat{\mathfrak{sl}}\_e)$-modules lead to different labelings of the simple modules for non semisimple Ariki-Koike algebras by using Lusztig $a$-values.
dc.identifierhttps://arxiv.org/abs/math/0504267
dc.identifierhttp://arxiv.org/abs/math/0504267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101204
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject20C08;17B37
dc.titleCrystal graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki-Koike algebras
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