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math.RT2022★ 1 cited
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…
math.QA2022
Generalized quantum cluster algebras: the Laurent phenomenon and upper bounds
Liqian Bai, Xueqing Chen, Ming Ding +1
Generalized quantum cluster algebras introduced in [1] are quantum deformation of generalized cluster algebras of geometric types. In this paper, we prove that the Laurent phenomen…
math.RT2022
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…