A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2”, Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, POMI, St. Petersburg, 2012, 133–157; J. Math. Sci. (N. Y.), 192:2 (2013), 200

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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 400, Pages 133–157 (Mi znsl5614)

This article is cited in 15 scientific papers (total in 15 papers)

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

A. I. Generalov

Saint-Petersburg State University, Saint-Petersburg, Russia

Full-text PDF (305 kB) Citations (15)

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Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_2$ (from the famous K. Erdmann's classification) over an algebraically closed field of characteristic two. In the calculation, we use a construction of the bimodule resolution for algebras from the above family.

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

Received: 21.05.2012

English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 2, Pages 200–214
DOI: https://doi.org/10.1007/s10958-013-1384-8

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2”, Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, POMI, St. Petersburg, 2012, 133–157; J. Math. Sci. (N. Y.), 192:2 (2013), 200–214

Citation in format AMSBIB

\Bibitem{Gen12}

\by A.~I.~Generalov

\paper Hochschild cohomology for algebras of semidihedral type.~III. The family $SD(2\mathcal B)_2$ in characteristic~2

\inbook Problems in the theory of representations of algebras and groups. Part~23

\serial Zap. Nauchn. Sem. POMI

\yr 2012

\vol 400

\pages 133--157

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl5614}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029568}

\transl

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

\yr 2013

\vol 192

\issue 2

\pages 200--214

\crossref{https://doi.org/10.1007/s10958-013-1384-8}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884984442}

Linking options:

https://www.mathnet.ru/eng/znsl5614

https://www.mathnet.ru/eng/znsl/v400/p133

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 15 articles:

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

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