A. I. Generalov, A. V. Semenov, “Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras”, Problems in the theory of representations of algebras and groups. Part 34, Zap. Nauchn. Sem. POMI, 478, POMI, St. Petersburg, 2019, 32

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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 478, Pages 32–77 (Mi znsl6745)

This article is cited in 3 scientific papers (total in 3 papers)

Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras

A. I. Generalov^a, A. V. Semenov^b

^a St. Petersburg State University, Mathematics and Mechanics Faculty
^b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Full-text PDF (363 kB) Citations (3)

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Abstract: The description of the Hochschild cohomology algebra for a family of local algebras of quaternion type is given in terms of generators and relations. 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 quaternion type, Hochschild cohomology.

Funding agency	Grant number
Russian Foundation for Basic Research	18-31-20004_мол_а_вед
Gazprom Neft

Received: 06.05.2019

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, A. V. Semenov, “Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras”, Problems in the theory of representations of algebras and groups. Part 34, Zap. Nauchn. Sem. POMI, 478, POMI, St. Petersburg, 2019, 32–77

Citation in format AMSBIB

\Bibitem{GenSem19}

\by A.~I.~Generalov, A.~V.~Semenov

\paper Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras

\inbook Problems in the theory of representations of algebras and groups. Part~34

\serial Zap. Nauchn. Sem. POMI

\yr 2019

\vol 478

\pages 32--77

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6745}

Linking options:

https://www.mathnet.ru/eng/znsl6745

https://www.mathnet.ru/eng/znsl/v478/p32

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 3 articles:

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

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Abstract page:	125
Full-text PDF :	50
References:	15

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