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

Volume 119 / 2010

Nicole Snashall, Rachel Taillefer Colloquium Mathematicum 119 (2010), 79-93 MSC: 16E40, 16S37, 16S80. DOI: 10.4064/cm119-1-4

Abstract

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.

Authors

  • Nicole SnashallDepartment of Mathematics
    University of Leicester
    University Road
    Leicester, LE1 7RH, England
    e-mail
  • Rachel TailleferPRES 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
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image