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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…
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…
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…
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…