Research output: Contribution to journal › Article › peer-review
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 language | English |
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Pages (from-to) | 923-940 |
Journal | St. Petersburg Mathematical Journal |
Volume | 27 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jan 2016 |
ID: 51927696