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arxiv: 1406.2452 · v1 · pith:6B7BBQEXnew · submitted 2014-06-10 · 🧮 math.QA · math-ph· math.MP· math.RT

Quantum cluster algebra structure on the finite dimensional representations of U_q(widehat{sl₂})

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keywords algebraclusterdimensionalfinitequantumrepresentationsstructurewidehat
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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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