Bounded derived categories and repetitive algebras

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dc.creatorHappel, Dieter
dc.creatorKeller, Bernhard
dc.creatorReiten, Idun
dc.date2007-02-11
dc.date.accessioned2026-07-07T07:46:18Z
dc.date.available2026-07-07T07:46:18Z
dc.descriptionBy a theorem due to the first author, the bounded derived category of a finite-dimensional algebra over a field embeds fully faithfully into the stable category over its repetitive algebra. This embedding is an equivalence iff the algebra is of finite global dimension. The purpose of this paper is to investigate the relationship between the derived category and the stable category over the repetitive algebra from various points of view for algebras of infinite global dimension. The most satisfactory results are obtained for Gorenstein algebras, especially for selfinjective algebras.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0702302
dc.identifierhttp://arxiv.org/abs/math/0702302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123787
dc.subjectRepresentation Theory
dc.subjectK-Theory and Homology
dc.subject16E05
dc.titleBounded derived categories and repetitive algebras
dc.typetext

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