17 citations · 64 across the 43 of their papers we have counts for
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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-…
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…
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…
A generalized quantum cluster algebra of Kronecker type
Liqian Bai, Xueqing Chen, Ming Ding +1
The cluster multiplication formulas for a generalized quantum cluster algebra of Kronecker type are explicitly given. Furthermore, a positive bar-invariant $\mathbb{Z}[q^{\pm\frac{…
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…
Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients
Ming Ding, Fan Xu, Xueqing Chen
We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. As a bypro…