Mathematics – Representation Theory
Scientific paper
2009-02-05
Proc. Amer. Math. Soc. 138(2) (2010), 455-459.
Mathematics
Representation Theory
Any commments are welcome!
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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