A. I. Generalov, A. A. Zaikovskiy, “Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 35–52; J. Math. Sci. (N. Y.), 240:4 (2019), 395

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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 460, Pages 35–52 (Mi znsl6470)

This article is cited in 4 scientific papers (total in 4 papers)

Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$

A. I. Generalov, A. A. Zaikovskiy

St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (221 kB) Citations (4)

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Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_1$ (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 semidihedral 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

Received: 30.10.2017

English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 4, Pages 395–407
DOI: https://doi.org/10.1007/s10958-019-04359-x

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, A. A. Zaikovskiy, “Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 35–52; J. Math. Sci. (N. Y.), 240:4 (2019), 395–407

Citation in format AMSBIB

\Bibitem{GenZai17}

\by A.~I.~Generalov, A.~A.~Zaikovskiy

\paper Hochschild cohomology for algebras of semidihedral type.~VIII. The family $SD(2\mathcal B)_1$

\inbook Problems in the theory of representations of algebras and groups. Part~32

\serial Zap. Nauchn. Sem. POMI

\yr 2017

\vol 460

\pages 35--52

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6470}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2019

\vol 240

\issue 4

\pages 395--407

\crossref{https://doi.org/10.1007/s10958-019-04359-x}

Linking options:

https://www.mathnet.ru/eng/znsl6470

https://www.mathnet.ru/eng/znsl/v460/p35

Cycle of papers

Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups
A. I. Generalov
Algebra i Analiz, 2009, 21:2, 1–51
Hochschild cohomology for algebras of semidihedral type, II. Local algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2011, 386, 144–202
Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2012, 400, 133–157
Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2013, 413, 45–92
Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$
A. I. Generalov, I. M. Zilberbord
Zap. Nauchn. Sem. POMI, 2015, 435, 5–32
Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2016, 443, 61–77
Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2016, 452, 52–69
Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$
A. I. Generalov, A. A. Zaikovskiy
Zap. Nauchn. Sem. POMI, 2017, 460, 35–52
Hochschild cohomology of algebras of semidihedral type, IX: exceptional local algebras
A. I. Generalov, D. A. Nikulin
Zap. Nauchn. Sem. POMI, 2019, 478, 17–31
Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2021, 500, 51–111

This publication is cited in the following 4 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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