4 papers
Morita theorem for hereditary Calabi-Yau categories
Norihiro Hanihara
We give a structure theorem for Calabi-Yau triangulated category with a hereditary cluster tilting object. We prove that an algebraic -Calabi-Yau triangulated category with a $d…
Cluster categories of formal DG algebras and singularity categories
Norihiro Hanihara
Given a negatively graded Calabi-Yau algebra, we regard it as a DG algebra with vanishing differentials and study its cluster category. We show that this DG algebra is sign-twisted…
Yoneda algebras and their singularity categories
Norihiro Hanihara
For a finite dimensional algebra of finite representation type and an additive generator for , we investigate the properties of the Yoneda algebra $Γ=\bigo…
Auslander Correspondence for Triangulated Categories
Norihiro Hanihara
We give analogues of the Auslander correspondence for two classes of triangulated categories satisfying certain finiteness conditions. The first class is triangulated categories wi…