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2017 Classifying tilting complexes over preprojective algebras of Dynkin type
Takuma Aihara, Yuya Mizuno
Algebra Number Theory 11(6): 1287-1315 (2017). DOI: 10.2140/ant.2017.11.1287

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.

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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

Information

Received: 19 February 2016; Revised: 5 February 2017; Accepted: 17 April 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06763327
MathSciNet: MR3687098
Digital Object Identifier: 10.2140/ant.2017.11.1287

Subjects:
Primary: 16G10

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.11 • No. 6 • 2017
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