Cluster Categories Coming from Cyclic Posets
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Publication:3448303
DOI10.1080/00927872.2014.946138zbMATH Open1331.18014arXiv1303.6697OpenAlexW1669604776MaRDI QIDQ3448303
Author name not available (Why is that?)
Publication date: 23 October 2015
Published in: (Search for Journal in Brave)
Abstract: Cyclic poset are generalizations of cyclically ordered sets. In this paper we show that any cyclic poset gives rise to a Frobenius category over any discrete valuation ring R. The continuous cluster categories of arXiv:1209.1879 are examples of this construction. If we twist the construction using an admissible automorphism of the cyclic poset, we generate other examples such as the m-cluster category of type A-infinity (m>2).
Full work available at URL: https://arxiv.org/abs/1303.6697
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