English

Mutation pairs and triangulated quotients

Category Theory 2014-01-03 v1 Representation Theory

Abstract

We define mutation pair in a pseudo-triangulated category. We prove that under certain conditions, for a mutation pair in a pseudo-triangulated category, the corresponding quotient category carries a natural triangulated structure. This result unifies many previous constructions of quotient triangulated categories.

Keywords

Cite

@article{arxiv.1401.0275,
  title  = {Mutation pairs and triangulated quotients},
  author = {Zengqiang Lin and Minxiong Wang},
  journal= {arXiv preprint arXiv:1401.0275},
  year   = {2014}
}

Comments

16 pages

R2 v1 2026-06-22T02:37:52.385Z