4 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…