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.

Язык оригиналаанглийский
Страницы (с-по)923-940
ЖурналSt. Petersburg Mathematical Journal
Том27
Номер выпуска6
DOI
СостояниеОпубликовано - 1 янв 2016

    Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел
  • Прикладная математика

ID: 51927696