Classifying tilting complexes over preprojective algebras of Dynkin type
Representation Theory
2018-03-16 v3 Rings and Algebras
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.
Cite
@article{arxiv.1509.07387,
title = {Classifying tilting complexes over preprojective algebras of Dynkin type},
author = {Takuma Aihara and Yuya Mizuno},
journal= {arXiv preprint arXiv:1509.07387},
year = {2018}
}
Comments
23 pages