Finite dimensional algebras and cellular systems

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dc.creatorDu, Jie
dc.date1999-12-08
dc.date.accessioned2026-07-07T05:32:11Z
dc.date.available2026-07-07T05:32:11Z
dc.descriptionWe introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-hereditary is the existence of a full divisible cellular system. As a further application, we prove that the existence of a full local cellular system is a sufficient condition for a standardly stratified algebra.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/9912061
dc.identifierhttp://arxiv.org/abs/math/9912061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79567
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16E10, 20C20, 20C30, 20G05, 16S80
dc.titleFinite dimensional algebras and cellular systems
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