17 citations · 64 across the 43 of their papers we have counts for
24 papers · 1 filter
A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
Ming Ding, Fan Xu, Panyue Zhou
We prove a multiplication formula for the Wang-Wei-Zhang cluster character on a Hom-finite -Calabi--Yau Frobenius extriangulated category with a cluster-tilting obj…
Enveloping algebras via motivic Hall algebras
Xinyi Feng, Fan Xu
We give a geometric realization of the whole universal enveloping algebras of Borcherds-Bozec algebras using quivers with loops via the motivic semi-derived Hall algebra approach.
Stability Conditions and Harder-Narasimhan Filtrations for Triangulated Categories
Wenyu Gao, Fan Xu
In this paper, we investigate the relationships between Harder-Narasimhan filtrations and derived Hall algebras. We extend several results from abelian categories to triangulated c…
Quantum cluster variables via canonical submodules
Fan Xu, Yutong Yu
We study quantum cluster algebras from marked surfaces without punctures. We express the quantum cluster variables in terms of the canonical submodules. As a byproduct, we obtain t…
Quantum cluster algebras associated to weighted projective lines
Fan Xu, Fang Yang
Let be a weighted projective line. We define the quantum cluster algebra of and realize its sp…
Applications of spherical twist functors to Lie algebras associated to root categories of preprojective algebras
Fan Xu, Fang Yang
Let be the preprojective algebra of a finite acyclic quiver of non-Dynkin type and be the bounded derived category of finite dimensional nilpote…