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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 470, Pages 50–87
(Mi znsl6611)
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This article is cited in 3 scientific papers (total in 3 papers)
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 St. Petersburg State University, St. Petersburg, Russia
Abstract:
We describe the Hochschild cohomology algebra for algebras of dihedral type in the subfamily of the family $D(2\mathcal B)$, for which the parameter $c$ is equal to $0$. In the calculation of multiplication in this cohomology algebra, we use the minimal bimodule projective resolution for the algebras under consideration that was constructed in the previous paper of the authors. The obtained results allow us to describe the Hochschild cohomology algebra also for algebras in the family $D(2\mathcal A)$ for which $c=0$.
Key words and phrases:
Hochschild cohomology algebra, algebras of dihedral type, bimodule resolution.
Received: 08.10.2018
Citation:
A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$”, Problems in the theory of representations of algebras and groups. Part 33, Zap. Nauchn. Sem. POMI, 470, POMI, St. Petersburg, 2018, 50–87; J. Math. Sci. (N. Y.), 243:4 (2019), 535–560
Linking options:
https://www.mathnet.ru/eng/znsl6611 https://www.mathnet.ru/eng/znsl/v470/p50
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Abstract page: | 219 | Full-text PDF : | 47 | References: | 24 |
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