A note on abelian quotient categories

Published 9 Apr 2019 in math.RT and math.CT | (1904.04730v1)

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

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