A. I. Generalov, I. M. Zilberbord, “Hochschild cohomology for algebras of semidihedral type. V. The family <nobr>$SD(3\mathcal K)$</nobr>”, Zap. Nauchn. Sem. POMI, 2015, Volume 435,Pages <nobr>5

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Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$

A. I. Generalov, I. M. Zilberbord

St. Petersburg State University, St. Petersburg, Russia

Abstract: We compute the Hochschild cohomology groups for algebras of semidihedral type from the family $SD(3\mathcal K)$ (within the famous K. Erdmann's classification). Our calculation relies on “a bimodule resalution” for algebras of the above family.

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

UDC: 512.5

Received: 03.07.2015