Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1). / Generalov, A. I.; Romanova, D. B.
в: St. Petersburg Mathematical Journal, Том 27, № 6, 01.01.2016, стр. 923-940.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1)
AU - Generalov, A. I.
AU - Romanova, D. B.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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.
AB - 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.
KW - Algebras of dihedral type
KW - Bimodule resolvent
KW - Hochschild cohomology groups
UR - http://www.scopus.com/inward/record.url?scp=84999232840&partnerID=8YFLogxK
U2 - 10.1090/spmj/1427
DO - 10.1090/spmj/1427
M3 - Article
AN - SCOPUS:84999232840
VL - 27
SP - 923
EP - 940
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 6
ER -
ID: 51927696