Distinguishing derived equivalence classes using the second Hochschild cohomology group

• Autorzy: Deena Al-Kadi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 16D50: Injective modules, self-injective rings
• 16G60: Representation type (finite, tame, wild, etc.)
• 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 2
• Strony: 285-294

Daty

wydano

2010

Twórcy

autor

Deena Al-Kadi

• Department of Mathematics, Taif University, Taif, Saudia Arabia

Identyfikatory

DOI

10.4064/cm121-2-11