Characterising the bounded derived category of an hereditary abelian category
Rings and Algebras
2016-12-21 v1 Category Theory
Abstract
We show that if a (not necessarily algebraic) triangulated category T contains an admissible hereditary abelian subcategory H, then we can lift the inclusion of H into T to a fully faithful triangle functor from the whole of the bounded derived category of H to T. This allows us prove, for example, that a triangulated category T is triangle equivalent to the bounded derived category of an hereditary abelian category if and only if T admits a split, bounded t-structure.
Keywords
Cite
@article{arxiv.1612.06674,
title = {Characterising the bounded derived category of an hereditary abelian category},
author = {Andrew Hubery},
journal= {arXiv preprint arXiv:1612.06674},
year = {2016}
}