DOI

The Hochschild cohomology groups are calculated for algebras of dihedral type in the series D(2B)(k, s, c) (in accordance with K. Erdmann's classification) in the case where the parameter c ∈ K occurring in the defining relations for this series equals 1. The calculations involve the bimodule resolvent for the algebras of this type, which is also constructed in the present paper. The results are applied to refine Erdmann's classification, specifically, it is proved that algebras corresponding to different values of c represent different classes of derived equivalence, and, in particular, different classes of Morita-equivalence.

Original languageEnglish
Pages (from-to)923-940
JournalSt. Petersburg Mathematical Journal
Volume27
Issue number6
DOIs
StatePublished - 1 Jan 2016

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

    Research areas

  • Algebras of dihedral type, Bimodule resolvent, Hochschild cohomology groups

ID: 51927696