Classification of two-term tilting complexes over Brauer graph algebras

Abstract

Using only the combinatorics of its defining ribbon graph, we classify the two-term tilting complexes, as well as their indecomposable summands, of a Brauer graph algebra. As an application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.

Revised version. To appear in Math. Z

References in corpus (1)

• Classifying tilting complexes over preprojective algebras of Dynkin type

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