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 for silting-discreteness.
Citation
Takuma Aihara. Yuya Mizuno. "Classifying tilting complexes over preprojective algebras of Dynkin type." Algebra Number Theory 11 (6) 1287 - 1315, 2017. https://doi.org/10.2140/ant.2017.11.1287
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