The stable Calabi–Yau dimension of the preprojective algebra of type 𝐋_{𝐧}

Ivanov, S.

doi:10.1090/S1061-0022-2013-01248-9

The stable Calabi–Yau dimension of the preprojective algebra of type ${\mathbf L}_n$
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by S. O. Ivanov
Translated by: the author

St. Petersburg Math. J. 24 (2013), 475-484

DOI: https://doi.org/10.1090/S1061-0022-2013-01248-9

Published electronically: March 21, 2013

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Abstract:

It is proved that if the characteristic of the ground field is not equal to $2$, then the stable Calabi–Yau dimension of the preprojective algebra of type ${\mathbf L}_n$ is equal to $5$. This result contradicts certain claims by Erdmann and Skowroński related to the description of algebras whose stable Calabi–Yau dimension is $2$.

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