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Zap. Nauchn. Sem. POMI, 2016, Volume 443, Pages 61–77 (Mi znsl6257)  

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

Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2

A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type contained in the family $SD(2\mathcal B)_2$ (of the famous K. Erdmann's classification) over an algebraically closed field of characteristic $\neq2$. In the calculation, we use the minimal projective bimodule resolution for algebras from the above family constructed in the previous paper by the author.

Key words and phrases: Hochschild cohomology groups, algebras of semidihedral type, bimodule resolution.

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English version:
Journal of Mathematical Sciences (New York), 2017, 222:4, 404–416

Bibliographic databases:

Document Type: Article
UDC: 512.5
Received: 08.12.2015

Citation: A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 61–77; J. Math. Sci. (N. Y.), 222:4 (2017), 404–416

Citation in format AMSBIB
\Bibitem{Gen16}
\by A.~I.~Generalov
\paper Hochschild cohomology for algebras of semidihedral type. ~VI. The family $SD(2\mathcal B)_2$ in characteristic different from~2
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 61--77
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6257}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3507765}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 404--416
\crossref{https://doi.org/10.1007/s10958-017-3311-x}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014801583}


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    This publication is cited in the following articles:
    1. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, J. Math. Sci. (N. Y.), 232:5 (2018), 622–634  mathnet  crossref  mathscinet
    2. A. I. Generalov, A. A. Zaikovskii, “On derived equivalence of algebras of semidihedral groups with two simple modules”, J. Math. Sci. (N. Y.), 232:5 (2018), 635–646  mathnet  crossref  mathscinet
    3. A. I. Generalov, A. A. Zaikovskii, “Kogomologii Khokhshilda algebr poludiedralnogo tipa. VIII. Seriya $SD(2\mathcal B)_1$”, Voprosy teorii predstavlenii algebr i grupp. 32, Zap. nauchn. sem. POMI, 460, POMI, SPb., 2017, 35–52  mathnet
    4. A. I. Generalov, M. A. Filippov, “Kogomologii Khokhshilda algebr diedralnogo tipa, VII. Seriya $D(3\mathcal R)$”, Voprosy teorii predstavlenii algebr i grupp. 32, Zap. nauchn. sem. POMI, 460, POMI, SPb., 2017, 53–81  mathnet
    5. A. I. Generalov, N. Yu. Kosovskaya, “Kogomologii Khokhshilda algebr diedralnogo tipa. VIII. Algebra kogomologii dlya serii $D(2\mathcal B)(k,s,0)$ v kharakteristike $2$”, Voprosy teorii predstavlenii algebr i grupp. 33, Zap. nauchn. sem. POMI, 470, POMI, SPb., 2018, 50–87  mathnet
  • Записки научных семинаров ПОМИ
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