A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras”, Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, POMI, St. Petersburg, 2024, 71

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Zapiski Nauchnykh Seminarov POMI, 2024, Volume 531, Pages 71–100 (Mi znsl7443)

Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras

A. I. Generalov

Saint Petersburg State University

Full-text PDF (584 kB)

Abstract: The Hochschild cohomology algebra is described in terms of generators and relations for a subfamily of the family $D(2\mathcal B)$ of algebras of dihedral type for which the natural parameters included in the defining relations take odd values.

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

Funding agency	Grant number
Russian Science Foundation	22-11-00081

Received: 27.06.2024

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras”, Problems in the theory of representations of algebras and groups. Part 40, Zap. Nauchn. Sem. POMI, 531, POMI, St. Petersburg, 2024, 71–100

Citation in format AMSBIB

\Bibitem{Gen24}

\by A.~I.~Generalov

\paper Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras

\inbook Problems in the theory of representations of algebras and groups. Part~40

\serial Zap. Nauchn. Sem. POMI

\yr 2024

\vol 531

\pages 71--100

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl7443}

Linking options:

https://www.mathnet.ru/eng/znsl7443

https://www.mathnet.ru/eng/znsl/v531/p71

Cycle of papers

Hochschild cohomologies of dihedral type algebras, I: $D(3\mathcal K)$ series in characteristic 2
A. I. Generalov
Algebra i Analiz, 2004, 16:6, 53–122
Hochschild cohomology of algebras of dihedral type. II. Local algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2010, 375, 92–129
Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$
A. I. Generalov, N. Yu. Kosovskaia
Zap. Nauchn. Sem. POMI, 2014, 423, 67–104
Hochschild cohomology for algebras of dihedral type. V. The family $D(3\mathcal K)$ in characteristic different from 2
A. I. Generalov, I. M. Zilberbord, D. B. Romanova
Zap. Nauchn. Sem. POMI, 2014, 430, 74–102
Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$
A. I. Generalov, D. B. Romanova
Algebra i Analiz, 2015, 27:6, 89–116
Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$
A. I. Generalov, N. Yu. Kosovskaia
Zap. Nauchn. Sem. POMI, 2018, 470, 50–87
Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$
A. I. Generalov, M. A. Kachalova, P. A. Mostovskij
Zap. Nauchn. Sem. POMI, 2022, 513, 30–56
Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras
A. I. Generalov, I. M. Zilberbord, V. A. Rogov
Zap. Nauchn. Sem. POMI, 2023, 522, 60–83
Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2024, 531, 71–100
Hochschild cohomology of algebras of dihedral type. XII. Cohomology algebra for a family of exceptional algebras with two simple modules
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2024, 538, 5–44

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