Quantum cluster algebra structure on the finite dimensional   representations of $U_q(\widehat{sl_{2}})$
  In this paper, we give a quantum cluster algebra structure on the deformed Grothendieck ring of $\CC_{n}$, where $\CC_{n}$ is a full subcategory of finite dimensional representations of $U_q(\widehat{sl_{2}})$ defined in section II. 
Hai-Tao Ma, Yan-Min Yang, Zhu-Jun Zheng
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