On category O for the rational Cherednik algebra of G(m,1,n): the almost semisimple case

dc.creatorVale, Richard
dc.date2006-06-21
dc.date2006-10-05
dc.date.accessioned2026-07-07T07:17:31Z
dc.date.available2026-07-07T07:17:31Z
dc.descriptionWe determine the structure of category $\cO$ for the rational Cherednik algebra of $G(m,1,n)$ in the case where the $\KZ$ functor satisfies a condition called \emph{separating simples}. As a consequence, we show that the property of having exactly $N-1$ simple modules, where $N$ is the number of simple modules of $G(m,1,n)$, determines the Ariki-Koike algebra up to isomorphism.
dc.description24 pages, new section added
dc.identifierhttps://arxiv.org/abs/math/0606523
dc.identifierhttp://arxiv.org/abs/math/0606523
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113968
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleOn category O for the rational Cherednik algebra of G(m,1,n): the almost semisimple case
dc.typetext

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