Calabi-Yau objects in triangulated categories
表示论
2007-05-23 v1
摘要
We introduce the Calabi-Yau (CY) objects in a Hom-finite Krull-Schmidt triangulated -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].
引用
@article{arxiv.math/0612689,
title = {Calabi-Yau objects in triangulated categories},
author = {Claude Cibils and Pu Zhang},
journal= {arXiv preprint arXiv:math/0612689},
year = {2007}
}
备注
18 pages