• Corpus ID: 10049600

On triangulated orbit categories

  title={On triangulated orbit categories},
  author={Bernhard Keller},
  journal={arXiv: Representation Theory},
  • B. Keller
  • Published 13 March 2005
  • Mathematics
  • arXiv: Representation Theory
We show that the category of orbits of the bounded derived category of a hereditary category under a well-behaved autoequivalence is canonically triangulated. This answers a question by A. Buan, R. Marsh and I. Reiten which appeared in their study with M. Reineke and G. Todorov of the link between tilting theory and cluster algebras (closely related to work by Caldero-Chapoton-Schiffler) and a question by H. Asashiba about orbit categories. We observe that the resulting triangulated orbit… 
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