Dimensions of triangulated categories via Koszul objects
Category Theory
2009-04-15 v3 Representation Theory
Abstract
Lower bounds for the dimension of a triangulated category are provided. These bounds are applied to stable derived categories of Artin algebras and of commutative complete intersection local rings. As a consequence, one obtains bounds for the representation dimensions of certain Artin algebras.
Cite
@article{arxiv.0802.0952,
title = {Dimensions of triangulated categories via Koszul objects},
author = {Petter Andreas Bergh and Srikanth B. Iyengar and Henning Krause and Steffen Oppermann},
journal= {arXiv preprint arXiv:0802.0952},
year = {2009}
}
Comments
Final revised version, to appear in Math. Z