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arXiv · 1303.6697

Cluster categories coming from cyclic posets

Kiyoshi Igusa·Gordana Todorov
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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).

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Kiyoshi Igusa, Gordana Todorov. 2013-03-26. Cluster categories coming from cyclic posets. https://arxiv.org/abs/1303.6697

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