A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 51

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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 51–111 (Mi znsl7066)

Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras

A. I. Generalov

Saint Petersburg State University

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Abstract: Hochschild cohomology algebra is described in term of generators and relations for a family of localalgebras of semidihedral type. This family appears in the famous K. Erdmann's classification only in the case where the characteristic of the base field is equal to 2.

Key words and phrases: local algebras of semidihedral type, Hochschild cohomology.

Funding agency	Grant number
Russian Foundation for Basic Research	20-01-00030

Received: 01.06.2021

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 51–111

Citation in format AMSBIB

\Bibitem{Gen21}

\by A.~I.~Generalov

\paper Hochschild cohomology of algebras of semidihedral type,~X. Cohomology algebra for exceptional local algebras

\inbook Problems in the theory of representations of algebras and groups. Part~37

\serial Zap. Nauchn. Sem. POMI

\yr 2021

\vol 500

\pages 51--111

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl7066}

Linking options:

https://www.mathnet.ru/eng/znsl7066

https://www.mathnet.ru/eng/znsl/v500/p51

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

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

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References:	19

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