A short proof of HRS-tilting

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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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