Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{s{l}_2})$

Hai-Tao Ma, Yan-Min Yang, Zhu-Jun Zheng

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 representatio…