6 papers
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…
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…
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…
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…
-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…
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…