Hochschild Cohomology for Algebras of Dihedral Type. VII. The Family  D (3 R )

A. I. Generalov; M. A. Filippov

doi:10.1007/s10958-019-04360-4

Hochschild Cohomology for Algebras of Dihedral Type. VII. The Family D(3R)

Authors: Generalov A.I.¹, Filippov M.A.¹
Affiliations:
1. St. Petersburg State University
Issue: Vol 240, No 4 (2019)
Pages: 408-427
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/242756
DOI: https://doi.org/10.1007/s10958-019-04360-4
ID: 242756

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Abstract
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Abstract

The Hochschild cohomology groups for algebras of dihedral type which are contained in the family D(3R) (from the famous K.Erdmann’s classification) are calculated. In the calculation, a construction of the minimal bimodule resolution for algebras from the family under discussion, that is defined in the present paper, is used.

About the authors

A. I. Generalov

St. Petersburg State University

Author for correspondence.
Email: ageneralov@gmail.com
Russian Federation, St. Petersburg

M. A. Filippov