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arXiv · 1904.04730

A note on abelian quotient categories

Panyue Zhou
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Abstract

Let C be a triangulated category with a Serre functor S and X a non-zero contravariantly finite rigid subcategory of C. Then X is cluster tilting if and only if the quotient category C/X is abelian and S(X)=X[2]. As an application, this result generalizes work by Beligiannis.

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Panyue Zhou. 2019-04-09. A note on abelian quotient categories. https://arxiv.org/abs/1904.04730

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