We prove that any derived equivalence between triangular algebras is standard, that is, it is isomorphic to the derived tensor functor given by a two-sided tilting complex.
@inproceedings{chen,2016a,
title={A note on standard equivalences},
author={Chen, Xiao-Wu},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221195732022869481},
booktitle={Bull. London Math. Soc.},
volume={48},
pages={5},
year={2016},
}
Chen, Xiao-Wu. A note on standard equivalences. 2016. Vol. 48. In Bull. London Math. Soc.. pp.5. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221195732022869481.