Standard

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 изданияхстатьяРецензирование

Harvard

Generalov, AI & Romanova, DB 2016, 'Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1)', St. Petersburg Mathematical Journal, Том. 27, № 6, стр. 923-940. https://doi.org/10.1090/spmj/1427

APA

Vancouver

Generalov AI, Romanova DB. Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1). St. Petersburg Mathematical Journal. 2016 Янв. 1;27(6):923-940. https://doi.org/10.1090/spmj/1427

Author

Generalov, A. I. ; Romanova, D. B. / Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1). в: St. Petersburg Mathematical Journal. 2016 ; Том 27, № 6. стр. 923-940.

BibTeX

@article{f07fac88cfe14dd1ac17b4e3e34039cc,
title = "Hochschild comohology for algebras of dihedral type, VI. The family D(2B)(k, s,1)",
abstract = "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.",
keywords = "Algebras of dihedral type, Bimodule resolvent, Hochschild cohomology groups",
author = "Generalov, {A. I.} and Romanova, {D. B.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1090/spmj/1427",
language = "English",
volume = "27",
pages = "923--940",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "6",

}

RIS

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