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arXiv · 0902.0876

A short proof of HRS-tilting

Xiao-Wu Chen
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Abstract

We give a short proof to the following tilting theorem by Happel, Reiten and Smal{\o} via an explicit construction: given two abelian categories $\mathcal{A}$ and $\mathcal{B}$ such that $\mathcal{B}$ is tilted from $\mathcal{A}$, then $\mathcal{A}$ and $\mathcal{B}$ are derived equivalent.

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Xiao-Wu Chen. 2009-02-05. A short proof of HRS-tilting. https://arxiv.org/abs/0902.0876

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