Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

• Autorzy: Nicole Snashall , Rachel Taillefer
• Języki publikacji: EN

Abstrakty

EN

We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.

Kategorie tematyczne

• 16S80: Deformations of rings
• 16S37: Quadratic and Koszul algebras
• 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: 119
• Numer: 1
• Strony: 79-93

Daty

wydano

2010

Twórcy

autor

Nicole Snashall

• Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, England

autor

Rachel Taillefer

• PRES Université de Lyon, Laboratoire de Mathématiques, de l'Université de Saint-Étienne Jean Monnet, 23 Rue Docteur Paul Michelon, F-42023 Saint-Étienne Cedex 2, France

Identyfikatory

DOI

10.4064/cm119-1-4