Triangulated quotient categories
Representation Theory
2019-02-21 v1
Abstract
A notion of mutation of subcategories in a right triangulated category is defined in this paper. When (Z,Z) is a D-mutation pair in a right triangulated category C, the quotient category Z/D carries naturally a right triangulated structure. More-over, if the right triangulated category satisfies some reasonable conditions, then the right triangulated quotient category Z/D becomes a triangulated category. When C is triangulated, our result unifies the constructions of the quotient triangulated categories by Iyama-Yoshino and by J{\o}rgensen respectively.
Keywords
Cite
@article{arxiv.1204.2024,
title = {Triangulated quotient categories},
author = {Yu Liu and Bin Zhu},
journal= {arXiv preprint arXiv:1204.2024},
year = {2019}
}
Comments
18 pages