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