Hall algebras associated to triangulated categories
Quantum Algebra
2008-08-27 v4 Category Theory
Abstract
By counting with triangles and the octohedral axiom, we find a direct way to prove the formula of To\"en in \cite{Toen2005} for a triangulated category with (left) homological-finite condition.
Keywords
Cite
@article{arxiv.math/0608144,
title = {Hall algebras associated to triangulated categories},
author = {Jie Xiao and Fan Xu},
journal= {arXiv preprint arXiv:math/0608144},
year = {2008}
}
Comments
12 pages. Final version, to appear in Duke