Finite dimensional modules and perpendicular subcategories

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dc.creatorGrime, Matthew
dc.date2007-08-24
dc.date.accessioned2026-07-07T08:25:24Z
dc.date.available2026-07-07T08:25:24Z
dc.descriptionWe explain how, under some hypotheses, one can construct a sequence of finite dimensional $kG$-modules that lie in certain prescribed additive subcategories, but whose direct limits do not. We use these to show that many of the triangulated quotients of $\Mod$ are not generated, as triangulated categories, by the corresponding quotient of $\mod$ considered as a full subcategory.
dc.description5 pages, expanding on a construction from the author's PhD thesis
dc.identifierhttps://arxiv.org/abs/0708.3329
dc.identifierhttp://arxiv.org/abs/0708.3329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136644
dc.subjectRepresentation Theory
dc.subject16G60, 18A30, 18Exx, 18G25, 20C05, 20C20
dc.titleFinite dimensional modules and perpendicular subcategories
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