A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, Problems in the theory of representations of algebras and groups. Part 30, Zap. Nauchn. Sem. POMI, 452, POMI, St. Petersburg, 2016, 52–69; J. Math. Sci. (N. Y.), 232:5 (2018), 622

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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 452, Pages 52–69 (Mi znsl6356)

This article is cited in 7 scientific papers (total in 7 papers)

Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter

A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (220 kB) Citations (7)

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Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_2(k,t,c)$ (from the famous K. Erdmann's classification) in the case where $k=1$. In the calculation, we use the beforehand construction of the minimal bimodule resolution for algebras from the subfamily under discussion.

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

Received: 08.08.2016

English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 5, Pages 622–634
DOI: https://doi.org/10.1007/s10958-018-3893-y

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, Problems in the theory of representations of algebras and groups. Part 30, Zap. Nauchn. Sem. POMI, 452, POMI, St. Petersburg, 2016, 52–69; J. Math. Sci. (N. Y.), 232:5 (2018), 622–634

Citation in format AMSBIB

\Bibitem{Gen16}

\by A.~I.~Generalov

\paper Hochschild cohomology for algebras of semidihedral type.~VII. Algebras with a~small parameter

\inbook Problems in the theory of representations of algebras and groups. Part~30

\serial Zap. Nauchn. Sem. POMI

\yr 2016

\vol 452

\pages 52--69

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6356}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589283}

\transl

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

\yr 2018

\vol 232

\issue 5

\pages 622--634

\crossref{https://doi.org/10.1007/s10958-018-3893-y}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048366949}

Linking options:

https://www.mathnet.ru/eng/znsl6356

https://www.mathnet.ru/eng/znsl/v452/p52

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 7 articles:

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

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References:	47

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