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. 

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