3 papers
math.QA2025
Fundamental relations in quantum cluster algebras
Junyuan Huang, Xueqing Chen, Ming Ding +1
Let be an arbitrary quantum cluster algebra with principal coefficients. We give the fundamental relations between the quantum cluster variables arising from one-…
math.QA2025
Explicit cluster multiplication formulas for the quantum cluster algebra of type
Danting Yang, Xueqing Chen, Ming Ding +1
Let be an affine quiver of type . We explicitly construct the cluster multiplication formulas for the quantum cluster algebra of with principal coefficients. As…
math.QA2024
On the acyclic quantum cluster algebras with principal coefficients
Junyuan Huang, Xueqing Chen, Ming Ding +1
In this paper, we focus on a new lower bound quantum cluster algebra which is generated by the initial quantum cluster variables and the quantum projective cluster variables of an…