Wakamatsu's equivalence revisited

Published 30 Oct 2016 in math.RT and math.RA | (1610.09649v1)

Abstract: For a certain Wakamatsu-tilting bimodule over two artin algebras $A$ and $B$, Wakamatsu constructed an explicit equivalence between the stable module categories over the trivial extension algebra of $A$ and that of $B$. We prove that Wakamatsu's functor is a triangle functor, thus a triangle equivalence.

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