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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 460, Pages 53–81 (Mi znsl6471)  

This article is cited in 5 scientific papers (total in 5 papers)

Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$

A. I. Generalov, M. A. Filippov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (305 kB) Citations (5)
References:
Abstract: We compute the Hochschild cohomology groups for algebras of dihedral type which are contained in the family $D(3\mathcal R)$ (from the famous K. Erdmann's classification). In the calculation, we use the beforehand construction of the minimal bimodule resolution for algebras from the family under discussion.
Key words and phrases: Hochschild cohomology groups, algebras of dihedral type, bimodule resolution.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00258
Ministry of Education and Science of the Russian Federation НШ-9721.2016.1
МК-1378.2017.1
Received: 30.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 4, Pages 408–427
DOI: https://doi.org/10.1007/s10958-019-04360-4
Document Type: Article
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, M. A. Filippov, “Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 53–81; J. Math. Sci. (N. Y.), 240:4 (2019), 408–427
Citation in format AMSBIB
\Bibitem{GenFil17}
\by A.~I.~Generalov, M.~A.~Filippov
\paper Hochschild cohomology for algebras of dihedral type,~VII. The family $D(3\mathcal R)$
\inbook Problems in the theory of representations of algebras and groups. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 460
\pages 53--81
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6471}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 4
\pages 408--427
\crossref{https://doi.org/10.1007/s10958-019-04360-4}
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  • https://www.mathnet.ru/eng/znsl/v460/p53
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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