Morita equivalences of Ariki-Koike algebras

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dc.creatorDipper, Richard
dc.creatorMathas, Andrew
dc.date2000-04-04
dc.date.accessioned2026-07-07T04:34:37Z
dc.date.available2026-07-07T04:34:37Z
dc.descriptionWe prove that every Ariki-Koike algebra is Morita equivalent to a direct sum of tensor products of smaller Ariki-Koike algebras which have q-connected parameter sets. A similar result is proved for the cyclotomic q-Schur algebras. Combining our results with work of Ariki and Uglov, the decomposition numbers for the Ariki-Koike algebras defined over fields of characteristic zero are now known in principle.
dc.descriptionLaTeX 2e file. 30 pages. Submitted for publication
dc.identifierhttps://arxiv.org/abs/math/0004014
dc.identifierhttp://arxiv.org/abs/math/0004014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58968
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject16G99, 20C20, 20G05
dc.titleMorita equivalences of Ariki-Koike algebras
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