Calabi-Yau objects in triangulated categories - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Transactions of the American Mathematical Society Année : 2009

Calabi-Yau objects in triangulated categories

Résumé

We 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].
Fichier principal
Vignette du fichier
C.CIBILS.P.ZHANG.2006.12.22.pdf (243.52 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00121805 , version 1 (22-12-2006)

Identifiants

Citer

Claude Cibils, Pu Zhang. Calabi-Yau objects in triangulated categories. Transactions of the American Mathematical Society, 2009, 361, pp.6501-6519. ⟨10.1090/S0002-9947-09-04682-0⟩. ⟨hal-00121805⟩
58 Consultations
348 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More