arXiv:1604.02764 Abstract | arXiv Analytics

arXiv:1604.02764 [math.RT]Abstract References Reviews Resources

On a cluster category of type $D_{\infty}$

Published 2016-04-11Version 1

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}].

Comments: 21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1505.06062 by other authors

Categories: math.RT

Subjects: 13F60, 16G20, 16G70, 18E30

Keywords: cluster category, finite dimensional representations, canonical orbit category, cluster-tilting subcategories form, cluster structure

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