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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 386, Pages 100–128 (Mi znsl3909)

This article is cited in 16 papers

Hochschild cohomology for self-injective algebras of tree class $D_n$. III

Yu. V. Volkov, A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Abstract: We describe in terms of generators and relations the Hochschild cohomology algebra for a family of representation-finite self-injective algebras of tree class $D_4$. In the corresponding calculations, we use the minimal projective bimodule resolution which was constructed in the another authors' paper. Bibl. 10 titles.

Key words and phrases: selfinjective algebras of finite representation type, Hochschild cohomilogy algebra.

UDC: 512.5

Received: 20.12.2010


 English version:
Journal of Mathematical Sciences (New York), 2012, 180:3, 252–268

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© Steklov Math. Inst. of RAS, 2024