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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 152–178 (Mi znsl4108)  
This article is cited in 3 scientific papers (total in 3 papers)

Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic 3

A. A. Ivanov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (685 kB) Citations (3)
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Abstract: In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family $Q(2\mathcal B)_1$ over an algebraically closed field of characteristic 3. Using previously constructed 4-periodic bimodule resolution, we describe Hochschild cohomology algebra of the above algebras in terms of generators and relations.
Key words and phrases: Hochschild cohomology, algebras of quaternion type, algebras of tame representation type.
Received: 30.05.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 183, Issue 5, Pages 658–674
DOI: https://doi.org/10.1007/s10958-012-0830-3
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: A. A. Ivanov, “Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic 3”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 152–178; J. Math. Sci. (N. Y.), 183:5 (2012), 658–674
Citation in format AMSBIB
\Bibitem{Iva11}
\by A.~A.~Ivanov
\paper Hochschild cohomology of algebras of quaternion type. The family $Q(2\mathcal B)_1$ in characteristic~3
\inbook Problems in the theory of representations of algebras and groups. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 388
\pages 152--178
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4108}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 183
\issue 5
\pages 658--674
\crossref{https://doi.org/10.1007/s10958-012-0830-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862256862}
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  • https://www.mathnet.ru/eng/znsl/v388/p152
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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