Calabi-Yau objects in triangulated categories

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dc.creatorCibils, Claude
dc.creatorZhang, Pu
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:51Z
dc.date.available2026-07-07T07:36:51Z
dc.descriptionWe introduce the Calabi-Yau (CY) objects in a Hom-finite Krull-Schmidt triangulated $k$-category, and notice that the structure of the minimal, consequently all the CY objects, can be described. The relation between indecomposable CY objects and Auslander-Reiten triangles is provided. Finally we classify all the CY modules of self-injective Nakayama algebras, determining this way the self-injective Nakayama algebras admitting indecomposable CY modules. In particular, this result recovers the algebras whose stable categories are Calabi-Yau, which have been obtained in [BS].
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0612689
dc.identifierhttp://arxiv.org/abs/math/0612689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120572
dc.subjectRepresentation Theory
dc.subject18E30 16G10
dc.titleCalabi-Yau objects in triangulated categories
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