Representation dimension and finitely generated cohomology

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dc.creatorBergh, Petter Andreas
dc.date2007-11-18
dc.date.accessioned2026-07-07T08:43:39Z
dc.date.available2026-07-07T08:43:39Z
dc.descriptionWe consider selfinjective Artin algebras whose cohomology groups are finitely generated over a central ring of cohomology operators. For such an algebra, we show that the representation dimension is strictly greater than the maximal complexity occurring among its modules. This provides a unified approach to computing lower bounds for the representation dimension of group algebras, exterior algebras and Artin complete intersections. We also obtain new examples of classes of algebras with arbitrarily large representation dimension.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0711.2794
dc.identifierhttp://arxiv.org/abs/0711.2794
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142389
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G60, 16E30, 16E40
dc.titleRepresentation dimension and finitely generated cohomology
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