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Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$ (1406.2452v1)
Published 10 Jun 2014 in math.QA, math-ph, math.MP, and math.RT
Abstract: 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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