20 citations · 88 across the 29 of their papers we have counts for
10 papers · 1 filter
Are cluster automorphism groups finitely generated?
Changjian Fu, Zhanhong Liang, Yinzhi Wang
This paper investigates the finite generation of cluster automorphism groups. By applying the pseudo -grading introduced in our previous work, we establish a sufficient…
Exchange graphs of cluster algebras have the non-leaving-face property
Changjian Fu, Shengfei Geng, Pin Liu
The claim in the title is proved.
A reduction approach to silting objects for derived categories of hereditary categories
Wei Dai, Changjian Fu
Let be a hereditary abelian category over a field with finite dimensional and spaces. It is proved that the bounded deri…
Compatibility degree of cluster complexes
Changjian Fu, Yasuaki Gyoda
We introduce a new function on the set of pairs of cluster variables via -vectors, which we call it the compatibility degree (of cluster complexes). The compatibility degree is…
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 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…
Feigin's map revisited
Changjian Fu
The aim of this note is to understand the injectivity of Feigin's map by representation theory of quivers, where is the word of a reduced expression of…
On indecomposable -rigid modules over cluster-tilted algebras of tame type
Changjian Fu, Shengfei Geng
For a given cluster-tilted algebra of tame type, it is proved that different indecomposable -rigid -modules have different dimension vectors. This is motivated by Fomin-Z…
Quantum dilogarithm identities and cyclic quivers
Changjian Fu, Liangang Peng
We study quantum dilogarithm identities for cyclic quivers following Reineke's idea via Ringel-Hall algebra approach. For any given discrete stability function for the cyclic quive…
Hall polynomials for representation-finite cluster-tilted algebras
Changjian Fu
We show the existence of Hall polynomials for representation-finite cluster-tilted algebras.