13 citations · 36 across the 31 of their papers we have counts for
15 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…
The cluster multiplication theorem for acyclic quantum cluster algebras
Xueqing Chen, Ming Ding, Haicheng Zhang
Let be a finite acyclic valued quiver. We give the cluster multiplication formulas in the quantum cluster algebra of with arbitrary coefficients, by applying certain quotie…
Atomic basis of quantum cluster algebra of type
Ming Ding, Fan Xu, Xueqing Chen
Let be the affine quiver of type and be the quantum cluster algebra associated to the valued quiver . We prove…
Acyclic quantum cluster algebras via Hall algebras of morphisms
Ming Ding, Fan Xu, Haicheng Zhang
Let be the path algebra of a finite acyclic quiver over a finite field. We realize the quantum cluster algebra with principal coefficients associated to as a sub-quotie…
On positivity for generalized cluster variables of affine quivers
Xueqing Chen, Ming Ding, Fan Xu
It has been proved in \cite{LS} that cluster variables in cluster algebras of every skew-symmetric cluster algebra are positive. We prove that any regular generalized cluster varia…
On homomorphisms from Ringel-Hall algebras to quantum cluster algebras
Xueqing Chen, Ming Ding, Fan Xu
In \cite{rupel3},the authors defined algebra homomorphisms from the dual Ringel-Hall algebra of certain hereditary abelian category to an appropriate -polynomial a…