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

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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 61–77 (Mi znsl6257)

This article is cited in 9 scientific papers (total in 9 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

Full-text PDF (236 kB) Citations (9)

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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.

Received: 08.12.2015

English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 404–416
DOI: https://doi.org/10.1007/s10958-017-3311-x

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

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://mathscinet.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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014801583}

Linking options:

https://www.mathnet.ru/eng/znsl6257

https://www.mathnet.ru/eng/znsl/v443/p61

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 9 articles:

Citing articles in Google Scholar: Russian citations, English citations
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