Generating the bounded derived category and perfect ghosts

Abstract

We show, for a wide class of abelian categories relevant in representation theory and algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely generated thick subcategories containing all perfect complexes. In order to do so, we prove a strong converse of the Ghost Lemma for bounded derived categories.

Keywords

• triangulated categories
• thick subcategories
• ideals