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arxiv: 1604.02764 · v1 · pith:S6TMNUPAnew · submitted 2016-04-11 · 🧮 math.RT

On a cluster category of type D_(infty)

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keywords categoryclusterinftyorbittypebirsboundedcanonical
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We study the canonical orbit category of the bounded derived category of finite dimensional representations of the quiver of type $D_{\infty}$. We prove that this orbit category is a cluster category, that is, its cluster-tilting subcategories form a cluster structure as defined in [\ref{BIRS}].

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