Perfect Derived Categories of Positively Graded DG Algebras
Representation Theory
2010-01-05 v2 Category Theory
Abstract
We investigate the perfect derived category dgPer(A) of a positively graded differential graded (dg) algebra A whose degree zero part is a dg subalgebra and semisimple as a ring. We introduce an equivalent subcategory of dgPer(A) whose objects are easy to describe, define a t-structure on dgPer(A) and study its heart. We show that dgPer(A) is a Krull-Remak-Schmidt category. Then we consider the heart in the case that A is a Koszul ring with differential zero satisfying some finiteness conditions.
Keywords
Cite
@article{arxiv.0809.4782,
title = {Perfect Derived Categories of Positively Graded DG Algebras},
author = {Olaf M. Schnürer},
journal= {arXiv preprint arXiv:0809.4782},
year = {2010}
}
Comments
Improved version, more explanations and examples