We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-11,
author = {Deena Al-Kadi},
title = {Distinguishing derived equivalence classes using the second Hochschild cohomology group},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {285-294},
zbl = {1237.16005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-11}
}
Deena Al-Kadi. Distinguishing derived equivalence classes using the second Hochschild cohomology group. Colloquium Mathematicae, Tome 120 (2010) pp. 285-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-11/