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n-angulated quotient categories induced by mutation pairs

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Abstract

Geiss, Keller and Oppermann (2013) introduced the notion of n-angulated category, which is a “higher dimensional” analogue of triangulated category, and showed that certain (n-2)-cluster tilting subcategories of triangulated categories give rise to n-angulated categories. We define mutation pairs in n-angulated categories and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories.

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Authors and Affiliations

  1. School of Mathematical Sciences, Huaqiao University, Chenghua North Road No. 269, Fengze, Quanzhou, 362021, Fujian, P.R. China

    Zengqiang Lin

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  1. Zengqiang Lin
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Correspondence to Zengqiang Lin.

Additional information

This work was supported in part by the National Natural Science Foundation of P.R. China (Grant No. 11101084), the Natural Science Foundation of Fujian Province (Grant No. 2013J05009), and the Science Foundation of Huaqiao University (Grant No. 2014KJTD14).

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Lin, Z. n-angulated quotient categories induced by mutation pairs. Czech Math J 65, 953–968 (2015). https://doi.org/10.1007/s10587-015-0220-3

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  • DOI: https://doi.org/10.1007/s10587-015-0220-3

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