Wakamatsu's equivalence revisited
Representation Theory
2016-11-01 v1 Rings and Algebras
Abstract
For a certain Wakamatsu-tilting bimodule over two artin algebras and , Wakamatsu constructed an explicit equivalence between the stable module categories over the trivial extension algebra of and that of . We prove that Wakamatsu's functor is a triangle functor, thus a triangle equivalence.
Keywords
Cite
@article{arxiv.1610.09649,
title = {Wakamatsu's equivalence revisited},
author = {Xiao-Wu Chen and Jiaqun Wei},
journal= {arXiv preprint arXiv:1610.09649},
year = {2016}
}