Product formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space

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dc.creatorShoji, Toshiaki
dc.creatorWada, Kentaro
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:52Z
dc.date.available2026-07-07T08:46:52Z
dc.descriptionIn our earlier work, we have proved a product formula for certain decomposition numbers of the cyclotomic v-Schur algebra associated to the Ariki-Koike algebra. It is conjectured by Yvonne that the decomposition numbers of this algebra can be described in terms of the canonical basis of the higher level Fock space studied by Uglov. In this paper we prove a product formula related to the canonical basis of the Fock space. In view of Yvonne's conjecture, this formula is regarded as a counter-part for the Fock space of our previous formula.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0712.0231
dc.identifierhttp://arxiv.org/abs/0712.0231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143399
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37, 20C08
dc.titleProduct formulas for the cyclotomic v-Schur algebra and for the canonical bases of the Fock space
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