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20232026
most citedOn homological properties of the category of -representations over a linear quiver of type

1 citations · 1 across the 9 of their papers we have counts for

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10 papers

math.RT2026

Representations of Bound Quivers over and Hall Algebras

Changjian Fu, Xuelian Xiao

Representations of quivers over the virtual field can be naturally extended to bound quivers with monomial and commutativity relations. In this paper, we introduce a…

math.RT2026

GIM and Elliptic Lie algebras via Ringel--Hall Lie algebras

Changjian Fu, Zhanhong Liang, Ming Lu

For any symmetrizable generalized intersection matrix (GIM) , we construct an acyclic valued quiver endowed with an involution . Let be the bou…

math.RT2026

Homological rigidity of quiver representations over

Changjian Fu, Liang Yang, Zhiyuan Zeng

We establish a homological rigidity phenomenon for the category of representations of quivers over the virtual field , which is inherently non-additive and does not a…

math.RT2026

On endomorphism algebras of silting complexes over hereditary abelian categories

Wei Dai, Changjian Fu, Liangang Peng

Let be the class of finite-dimensional algebras isomorphic to endomorphism algebras of silting complexes over hereditary abelian categories. It is proved that the cla…

math.QA2025

From quantum groups to quantum cluster algebras

Changjian Fu, Haicheng Zhang

We provide a homomorphism of algebras from the quantum group to the corresponding quantum cluster algebra with principal coefficient…

math.RA2025

-vectors and -invariant in generalized cluster algebras

Huihui Ye, Changjian Fu

We establish certain fundamental properties of -vectors and -matrices for generalized cluster algebras, including the initial and final seed mutation formulas, the compatibil…

math.RA2025

Pseudo grading on cluster automorphism group with application to cluster algebras of rank

Changjian Fu, Zhanhong Liang

We introduce a pseudo -grading on the cluster auotmorphism group with respect to an initial seed of , which consists of a…

math.RT2024

A correspondence between additive and monoidal categorifications with application to Grassmannian cluster categories

Karin Baur, Changjian Fu, Jian-rong Li

Building on work of Derksen-Fei and Plamondon, we formulate a conjectural correspondence between additive and monoidal categorifications of cluster algebras, which reveals a new co…

math.RA2024

On -Polynomials for Generalized Quantum Cluster Algebras and Gupta's Formula

Changjian Fu, Liangang Peng, Huihui Ye

We show the polynomial property of -polynomials for generalized quantum cluster algebras and obtain the associated separation formulas under a mild condition. Along the way, we…

math.RT2023★ 1 cited

On homological properties of the category of -representations over a linear quiver of type

Changjian Fu, Longjun Ran, Liang Yang

Let be a quiver of type with linear orientation and the category of representations of over the virtual field $\mathbb{F…