Advanced Search

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...