Self-equivalences of the derived category of Brauer tree algebras with exceptional vertex.
Subcategories of the derived category and cotilting complexes
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.
Symmetrische Algebren mit endlich vielen unzerlegbaren Darstellungen. II.