3 citations · 6 across the 7 of their papers we have counts for
7 papers
Relative rigid objects in extriangulated categories
Yu Liu, Panyue Zhou
In this paper, we study a close relationship between relative cluster tilting theory in extriangulated categories and tau-tilting theory in module categories. Our main results show…
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…
Tilting objects on tubular weighted projective lines: a cluster tilting approach
Jianmin Chen, Yanan Lin, Pin Liu +1
Using cluster tilting theory, we investigate tilting objects in the stable category of vector bundles on a weighted projective line of weight type . More precisely, a…
Lifting to cluster-tilting objects in higher cluster categories
Pin Liu
In this note, we consider the -cluster-tilted algebras, the endomorphism algebras of -cluster-tilting objects in -cluster categories. We show that a tilting module over su…