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math.QA2021
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…
math.RT2021
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…