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arXiv · 1610.09649

Wakamatsu's equivalence revisited

Xiao-Wu Chen·Jiaqun Wei
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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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Xiao-Wu Chen, Jiaqun Wei. 2016-10-30. Wakamatsu's equivalence revisited. https://arxiv.org/abs/1610.09649

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