# Classification of two-term tilting complexes over Brauer graph algebras

@article{Adachi2015ClassificationOT, title={Classification of two-term tilting complexes over Brauer graph algebras}, author={Takahide Adachi and Takuma Aihara and Aaron Chan}, journal={Mathematische Zeitschrift}, year={2015}, volume={290}, pages={1-36} }

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.

## 56 Citations

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