Subcategories of the derived category and cotilting complexes
Volume 88 / 2001
Colloquium Mathematicum 88 (2001), 1-11
MSC: 16E05, 16D90, 16G30.
DOI: 10.4064/cm88-1-1
Abstract
We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
