Perfect Derived Categories of Positively Graded DG Algebras

Details Perfect Derived Categories of Positively Graded DG Algebras Perfect Derived Categories of Positively Graded DG Algebras

2008-09-27

arxiv.org/abs/0809.4782v2

Mathematics

Representation Theory

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Scientific paper

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.

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