Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$

preprint2014arXivOpen access

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.

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Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$

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Quantum cluster algebra structure on the finite dimensional representations of Uq(sl2^)U_q(\widehat{sl_{2}})Uq​(sl2​​)

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Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$