From triangulated categories to abelian categories--cluster tilting in a general framework
Representation Theory
2007-06-13 v3 Category Theory
Abstract
We put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an abelian structure. These abelian quotients turn out to be module categories of Goreisten algebras of dimension at most one.
Cite
@article{arxiv.math/0605100,
title = {From triangulated categories to abelian categories--cluster tilting in a general framework},
author = {Steffen Koenig and Bin Zhu},
journal= {arXiv preprint arXiv:math/0605100},
year = {2007}
}
Comments
final version, to appear in Math. Z. minor changes