A. I. Generalov, A. A. Ivanov, S. O. Ivanov, “Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2”, Problems in the theory of representations of algebras and groups. Part 16, Zap. Nauchn. Sem. POMI, 349, POMI, St. Petersburg, 2007, 53–134; J. Math. Sci. (N. Y.), 151:3 (2008), 2961

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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 349, Pages 53–134 (Mi znsl54)

This article is cited in 24 scientific papers (total in 24 papers)

Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2

A. I. Generalov, A. A. Ivanov, S. O. Ivanov

Saint-Petersburg State University

Full-text PDF (553 kB) Citations (24)

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Abstract: In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family $Q(2\mathcal B)_1$ over an algebraically closed field with characteristic 2. The 4-periodic bimodule resolution is constructed for the most part of algebras of this family. Using this resolution, the description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration.

Received: 12.10.2007

English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 3, Pages 2961–3009
DOI: https://doi.org/10.1007/s10958-008-9017-3

Bibliographic databases:

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, A. A. Ivanov, S. O. Ivanov, “Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2”, Problems in the theory of representations of algebras and groups. Part 16, Zap. Nauchn. Sem. POMI, 349, POMI, St. Petersburg, 2007, 53–134; J. Math. Sci. (N. Y.), 151:3 (2008), 2961–3009

Citation in format AMSBIB

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\by A.~I.~Generalov, A.~A.~Ivanov, S.~O.~Ivanov

\paper Hochschild cohomology of algebras of quaternion type.~II. The family $Q(2\mathcal B)_1$ in characteristic~2

\inbook Problems in the theory of representations of algebras and groups. Part~16

\serial Zap. Nauchn. Sem. POMI

\yr 2007

\vol 349

\pages 53--134

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl54}

\transl

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

\yr 2008

\vol 151

\issue 3

\pages 2961--3009

\crossref{https://doi.org/10.1007/s10958-008-9017-3}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249136069}

Linking options:

https://www.mathnet.ru/eng/znsl54

https://www.mathnet.ru/eng/znsl/v349/p53

Cycle of papers

Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups
A. I. Generalov
Algebra i Analiz, 2006, 18:1, 55–107
Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2
A. I. Generalov, A. A. Ivanov, S. O. Ivanov
Zap. Nauchn. Sem. POMI, 2007, 349, 53–134
Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2008, 356, 46–84
Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras
A. I. Generalov, A. V. Semenov
Zap. Nauchn. Sem. POMI, 2019, 478, 32–77

This publication is cited in the following 24 articles:

Citing articles in Google Scholar: Russian citations, English citations
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References:	63

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