4 citations · 11 across the 6 of their papers we have counts for
7 papers · 1 filter
Cotorsion pairs and t-structures in a Calabi-Yau triangulated category
Yu Zhou, Bin Zhu
For a Calabi-Yau triangulated category of Calabi-Yau dimension with a cluster tilting subcategory , it is proved that the decomposition of $\math…
Cluster combinatorics of d-cluster categories
Yu Zhou, Bin Zhu
We study the cluster combinatorics of cluster tilting objects in cluster categories. By using mutations of maximal rigid objects in cluster categories which are defined…
Generalized cluster complexes via quiver representations
Bin Zhu
We give a quiver representation theoretic interpretation of generalized cluster complexes defined by Fomin and Reading. By using cluster categories which are defined by Keller…
From triangulated categories to abelian categories--cluster tilting in a general framework
Steffen Koenig, Bin Zhu
We put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) ca…
Preprojective cluster variables of acyclic cluster algebras
Bin Zhu
For any valued quiver, by using BGP-reflection functors, an injection from the set of preprojective objects in the cluster category to the set of cluster variables of the correspon…
Equivalences between cluster categories
Bin Zhu
Tilting theory in cluster categories of hereditary algebras has been developed in [BMRRT] and [BMR]. These results are generalized to cluster categories of hereditary abelian categ…