n-angulated quotient categories induced by mutation pairs

Title:

n-angulated quotient categories induced by mutation pairs

Creator:

Lin, Zengqiang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:88d02243-a192-42a7-bac9-a03fe7350b62
uuid:88d02243-a192-42a7-bac9-a03fe7350b62
issn:0011-4642

Subject:

matematika, mathematics, n-angulated category, quotient category, mutation pair, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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., Zengqiang Lin., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

953-968

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false