20 citations · 88 across the 29 of their papers we have counts for
19 papers · 1 filter
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…
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…
Denominator conjecture for some surface cluster algebras
Changjian Fu, Shengfei Geng
The denominator conjecture, proposed by Fomin and Zelevinsky, says that for a cluster algebra, the cluster monomials are uniquely determined by their denominator vectors with respe…
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 struct…
Intersection vectors over tilings with applications to gentle algebras and cluster algebras
Changjian Fu, Shengfei Geng
It is proved that a multiset of permissible arcs over a tiling is uniquely determined by its intersection vector under a mild condition. This generalizes a classical result over ma…
On support -tilting graphs of gentle algebras
Changjian Fu, Shengfei Geng, Pin Liu +1
Let be a finite-dimensional gentle algebra over an algebraically closed field. We investigate the combinatorial properties of support -tilting graph of . In particular, i…
On maximal green sequence for quivers arising from weighted projective lines
Changjian Fu, Shengfei Geng
We investigate the existence and non-existence of maximal green sequences for quivers arising from weighted projective lines. Let be the Gabreil quiver of the endomorphism alge…
Quantum cluster characters of Hall algebras revisited
Changjian Fu, Liangang Peng, Haicheng Zhang
Let be a finite acyclic valued quiver. We define a bialgebra structure and an integration map on the Hall algebra associated to the morphism category of projective representati…
On cluster categories of weighted projective lines with at most three weights
Changjian Fu, Shengfei Geng
Let be a weighted projective line and the associated cluster category. It is known that can be realized as a generali…
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…
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…
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…
Tilting modules and support -tilting modules over preprojective algebras associated with symmetrizable Cartan matrices
Changjian Fu, Shengfei Geng
For any given symmetrizable Cartan matrix with a symmetrizer , Geiß~ et al. (2016) introduced a generalized preprojective algebra . We study tilting modules and sup…
C-vectors via -tilting theory
Changjian Fu
Inspired by the tropical duality in cluster algebras, we introduce c-vectors for finite-dimensional algebras via -tilting theory. Let be a finite-dimensional algebra over a…
On root categories of finite-dimenisonal algebras
Changjian Fu
For any finite-dimensional algebra over a field with finite global dimension, we investigate the root category $\cR_A$ as the triangulated hull of the 2-periodic orbit cate…
The Ringel--Hall Lie algebra of a spherical object
Changjian Fu, Dong Yang
For an integer , let $\cs_w$ be the algebraic triangulated category generated by a -spherical object. We determine the Picard group of $\cs_w$ and show that each orbit catego…
Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories
Changjian Fu, Pin Liu
We show that a tilting module over the endomorphism algebra of a cluster-tilting object in a 2-Calabi-Yau triangulated category lifts to a cluster-tilting object in this 2-Calabi-Y…
On cluster algebras with coefficients and 2-Calabi-Yau categories
Changjian Fu, Bernhard Keller
Building on work by Geiss-Leclerc-Schroer and by Buan-Iyama-Reiten-Scott we investigate the link between certain cluster algebras with coefficients and suitable 2-Calabi-Yau catego…