12 citations · 37 across the 21 of their papers we have counts for
4 papers · 1 filter
On cluster-tilting graphs for hereditary categories
Changjian Fu, Shengfei Geng
Let be a connected hereditary abelian category with tilting objects. It is proved that the cluster-tilting graph associated with is always connected. As…
Relative rigid objects in triangulated categories
Changjian Fu, Shengfei Geng, Pin Liu
Let be a Krull-Schmidt, Hom-finite triangulated category with suspension functor . Let be a basic rigid object, the endomorphism algebra of , and $\op…
Cluster algebras arising from cluster tubes II: the Caldero-Chapoton map
Changjian Fu, Shengfei Geng, Pin Liu
We continue our investigation on cluster algebras arising from cluster tubes. Let be a cluster tube of rank . For an arbitrary basic maximal rigid object of…
Cluster algebras arising from cluster tubes I: integer vectors
Changjian Fu, Shengfei Geng, Pin Liu
We study cluster algebras arising from cluster tubes. We obtain categorical interpretations for -vectors, -vectors and denominator vectors for cluster algebras of type $\math…