Heller triangulated categories

@article{Kuenzer2005HellerTC,
  title={Heller triangulated categories},
  author={Matthias Kuenzer},
  journal={Homology, Homotopy and Applications},
  year={2005},
  volume={9},
  pages={233-320}
}
  • M. Kuenzer
  • Published 29 August 2005
  • Mathematics
  • Homology, Homotopy and Applications
Let E be a Frobenius category. Let E denote its stable category. The shift functor on E induces, by pointwise application, an inner shift functor on the category of acyclic complexes with entries in E. Shifting a complex by 3 positions yields an outer shift functor on this category. Passing to the quotient modulo split acyclic complexes, Heller remarked that inner and outer shift become isomorphic, via an isomorphism satisfying still a further compatibility. Moreover, Heller remarked that a… 
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