2000 character limit reached
Classifying tilting complexes over preprojective algebras of Dynkin type (1509.07387v3)
Published 24 Sep 2015 in math.RT and math.RA
Abstract: We study tilting complexes over preprojective algebras of Dynkin type. We classify all tilting complexes by giving a bijection between tilting complexes and the braid group of the corresponding folded graph. In particular, we determine the derived equivalence class of the algebra. For the results, we develop the theory of silting-discrete triangulated categories and give a criterion of silting-discreteness.