$n$-angulated quotient categories induced by mutation pairs

Lin, Zengqiang. "$n$-angulated quotient categories induced by mutation pairs." Czechoslovak Mathematical Journal 65.4 (2015): 953-968. <http://eudml.org/doc/276088>.

@article{Lin2015,
abstract = {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 triangulated categories.},
author = {Lin, Zengqiang},
journal = {Czechoslovak Mathematical Journal},
keywords = {$n$-angulated category; quotient category; mutation pair},
language = {eng},
number = {4},
pages = {953-968},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$n$-angulated quotient categories induced by mutation pairs},
url = {http://eudml.org/doc/276088},
volume = {65},
year = {2015},
}

TY - JOUR
AU - Lin, Zengqiang
TI - $n$-angulated quotient categories induced by mutation pairs
JO - Czechoslovak Mathematical Journal
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 4
SP - 953
EP - 968
AB - 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 triangulated categories.
LA - eng
KW - $n$-angulated category; quotient category; mutation pair
UR - http://eudml.org/doc/276088
ER -