A note on abelian quotient categories
Representation Theory
2020-03-27 v1 Category Theory
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.
Cite
@article{arxiv.1904.04730,
title = {A note on abelian quotient categories},
author = {Panyue Zhou},
journal= {arXiv preprint arXiv:1904.04730},
year = {2020}
}
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6 pages