5 papers
On -tilting graphs for quasi-silted algebras
Wei Dai, Changjian Fu, Shengfei Geng +1
We prove that the -tilting graph of any quasi-silted algebra is connected and has the reachable-in-face property. Our approach utilizes -reduction and wall and chamber stru…
On higher extensions of quiver representations over
Changjian Fu, Liang Yang, Zhiyuan Zeng
We show that higher extension spaces between finite-dimensional nilpotent -representations maybe infinite-dimensional, thereby clarifying a misconception in the liter…
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…
A short proof for the acyclicity of oriented exchange graphs of cluster algebras
Shuhao Deng, Changjian Fu
The statement in the title was proved in \cite{Cao23} by introducing dominant sets of seeds, which are analogs of torsion classes in representation theory. In this note, we observe…
On denominator conjecture for cluster algebras of finite type
Changjian Fu, Shengfei Geng
We continue our investigation on denominator conjecture of Fomin and Zelevinsky for cluster algebras via geometric models initialed in \cite{FG22}. In this paper, we confirm the de…