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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 443, Pages 61–77 (Mi znsl6257)

This article is cited in 9 papers

Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2

A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type contained in the family $SD(2\mathcal B)_2$ (of the famous K. Erdmann's classification) over an algebraically closed field of characteristic $\neq2$. In the calculation, we use the minimal projective bimodule resolution for algebras from the above family constructed in the previous paper by the author.

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

UDC: 512.5

Received: 08.12.2015


 English version:
Journal of Mathematical Sciences (New York), 2017, 222:4, 404–416

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© Steklov Math. Inst. of RAS, 2024