A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 144–202; J. Math. Sci. (N. Y.), 180:3 (2012), 278

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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 144–202 (Mi znsl3911)

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

Hochschild cohomology for algebras of semidihedral type, II. Local algebras

A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (813 kB) Citations (15)

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Abstract: We describe in terms of generators and relations the Hochschild cohomology algebra for a family of local algebras of semidihedral type over the ground field that has the characteristic not equal to 2. In the corresponding calculations, we use the free bimodule resolution which was constructed in the another author's paper. Bibl. 22 titles.

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

Received: 13.11.2010

English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 278–314
DOI: https://doi.org/10.1007/s10958-011-0644-8

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 144–202; J. Math. Sci. (N. Y.), 180:3 (2012), 278–314

Citation in format AMSBIB

\Bibitem{Gen11}

\by A.~I.~Generalov

\paper Hochschild cohomology for algebras of semidihedral type,~II. Local algebras

\inbook Problems in the theory of representations of algebras and groups. Part~20

\serial Zap. Nauchn. Sem. POMI

\yr 2011

\vol 386

\pages 144--202

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl3911}

\transl

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

\yr 2012

\vol 180

\issue 3

\pages 278--314

\crossref{https://doi.org/10.1007/s10958-011-0644-8}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855645325}

Linking options:

https://www.mathnet.ru/eng/znsl3911

https://www.mathnet.ru/eng/znsl/v386/p144

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
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References:	59

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