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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 48–99 (Mi znsl4105)  
This article is cited in 14 scientific papers (total in 14 papers)

Hochschild cohomology for nonstandard self-injective algebras of tree class $D_n$

Y. V. Volkov

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (807 kB) Citations (14)
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Abstract: We construct minimal projective bimodule resolutions for nonstandard self-injective algebras of finite representation type. Further, using this resolution we calculate dimensions of the Hochschild cohomology groups and describe Hochschild cohomology algebra in terms of generators and relations. The above resolution, and thus also the Hochschild cohomology of these algebras, are periodic.
Key words and phrases: Hochschild cohomology, self-injective algebras, finite representaion type.
Received: 01.02.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 183, Issue 5, Pages 600–628
DOI: https://doi.org/10.1007/s10958-012-0827-y
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: Y. V. Volkov, “Hochschild cohomology for nonstandard self-injective algebras of tree class $D_n$”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 48–99; J. Math. Sci. (N. Y.), 183:5 (2012), 600–628
Citation in format AMSBIB
\Bibitem{Vol11}
\by Y.~V.~Volkov
\paper Hochschild cohomology for nonstandard self-injective algebras of tree class~$D_n$
\inbook Problems in the theory of representations of algebras and groups. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 388
\pages 48--99
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4105}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 183
\issue 5
\pages 600--628
\crossref{https://doi.org/10.1007/s10958-012-0827-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862264669}
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  • https://www.mathnet.ru/eng/znsl/v388/p48
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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