## Abstract

Let X be a weighted projective line and coh X the associated category of coherent sheaves. We classify the tilting complexes T in D

^{b}(coh X) such that τ^{2}T ≅ T , where τ is the Auslander–Reiten translation in D^{b}(coh X). As an application of this result, we classify the 2-representation-finite algebras which are derived-equivalent to a canonical algebra. This complements Iyama-Oppermann’s classification of the iterated tilted 2-representation-finite algebras. By passing to 3-preprojective algebras, we obtain a classification of the selfinjective cluster-tilted algebras of canonical-type. This complements Ringel’s classification of the selfinjective cluster-tilted algebras.Original language | English |
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Pages (from-to) | 1-31 |

Number of pages | 31 |

Journal | Advances in Mathematics |

Volume | 273 |

DOIs | |

Publication status | Published - 2015 Mar |

Externally published | Yes |

## Subject classification (UKÄ)

- Algebra and Logic

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