On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules
- Authors: Generalov A.I.1, Zaikovskii A.A.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 232, No 5 (2018)
- Pages: 635-646
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241379
- DOI: https://doi.org/10.1007/s10958-018-3894-x
- ID: 241379
Cite item
Abstract
The Hochschild cohomology groups of degrees not exceeding 3 are computed for algebras of semidihedral type that form the family SD(2B)1 (from the famous K. Erdmann’s classification). In the calculation, the beforehand construction of the initial part of the minimal projective bimodule resolution is used for algebras from the family under discussion. The obtained results imply that the algebras from the families SD(2B)1 and SD(2B)2 with the same parameters in defining relations are not derived equivalent.
About the authors
A. I. Generalov
St.Petersburg State University
Author for correspondence.
Email: ageneralov@gmail.com
Russian Federation, St.Petersburg
A. A. Zaikovskii
St.Petersburg State University
Email: ageneralov@gmail.com
Russian Federation, St.Petersburg