Distinguishing derived equivalence classes using the second Hochschild cohomology group

Deena Al-Kadi. "Distinguishing derived equivalence classes using the second Hochschild cohomology group." Colloquium Mathematicae 121.2 (2010): 285-294. <http://eudml.org/doc/283748>.

@article{DeenaAl2010,
abstract = {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.},
author = {Deena Al-Kadi},
journal = {Colloquium Mathematicae},
keywords = {Hochschild cohomology groups; preprojective algebras; non-standard algebras; socle deformations; derived equivalences},
language = {eng},
number = {2},
pages = {285-294},
title = {Distinguishing derived equivalence classes using the second Hochschild cohomology group},
url = {http://eudml.org/doc/283748},
volume = {121},
year = {2010},
}

TY - JOUR
AU - Deena Al-Kadi
TI - Distinguishing derived equivalence classes using the second Hochschild cohomology group
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 285
EP - 294
AB - 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.
LA - eng
KW - Hochschild cohomology groups; preprojective algebras; non-standard algebras; socle deformations; derived equivalences
UR - http://eudml.org/doc/283748
ER -