Corpus ID: 237572105

Triangulated categories of periodic complexes and orbit categories

  title={Triangulated categories of periodic complexes and orbit categories},
  author={Jian Liu},
  • Jian Liu
  • Published 18 September 2021
  • Mathematics
We investigate the triangulated hull of the orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor. It turns out that the triangulated hull will correspond to the full subcategory of compact objects of certain triangulated categories of periodic complexes. This specializes to Stai and Zhao’s result when the ring is a finite dimensional algebra with finite global dimension over a field. As the first application… Expand


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