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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 452, Pages 52–69 (Mi znsl6356)

This article is cited in 7 papers

Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter

A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_2(k,t,c)$ (from the famous K. Erdmann's classification) in the case where $k=1$. In the calculation, we use the beforehand construction of the minimal bimodule resolution for algebras from the subfamily under discussion.

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

UDC: 512.5

Received: 08.08.2016


 English version:
Journal of Mathematical Sciences (New York), 2018, 232:5, 622–634

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© Steklov Math. Inst. of RAS, 2024