Xueqing Chen

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20152022

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math.RT2020

Atomic basis of quantum cluster algebra of type $A_{2 n - 1, 1}$

Ming Ding, Fan Xu, Xueqing Chen

Let $Q$ be the affine quiver of type $A_{2 n - 1, 1}$ and $A_{q} (Q)$ be the quantum cluster algebra associated to the valued quiver $(Q, (2, 2, \dots, 2))$ . We prove…

math.RT2016

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…

Atomic basis of quantum cluster algebra of type A2n−1,1​

On positivity for generalized cluster variables of affine quivers

Atomic basis of quantum cluster algebra of type $A_{2 n - 1, 1}$