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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2014 Volume 430, Pages 74–102 (Mi znsl6085)

This article is cited in 9 papers

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

St. Petersburg State University, St. Petersburg, Russia

Abstract: We compute the Hochschild cohomology groups for algebras of dihedral type which form the family $D(3\mathcal K)$ (from the famous K. Erdmann's classification) over an algebraically closed field with characteristic different from 2. In the calculation, we use the beforehand construction of the bimodule resolution for algebras from the family under discussion.

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

UDC: 512.5

Received: 31.10.2014


 English version:
Journal of Mathematical Sciences (New York), 2016, 219:3, 385–404

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