Distinguishing derived equivalence classes using the second Hochschild cohomology group

Details Distinguishing derived equivalence classes using the second Hochschild cohomology group Distinguishing derived equivalence classes using the second Hochschild cohomology group

2009-12-15

arxiv.org/abs/0912.2971v4

Mathematics

Representation Theory

Scientific paper

In this paper we study the second Hochschild cohomology group of the preprojective algebra of type $D_4$ 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 Skowro\'nski.

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