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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2019 Volume 478, Pages 32–77 (Mi znsl6745)

This article is cited in 3 papers

Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras

A. I. Generalova, A. V. Semenovb

a St. Petersburg State University, Mathematics and Mechanics Faculty
b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: The description of the Hochschild cohomology algebra for a family of local algebras of quaternion type is given in terms of generators and relations. This family appears in the famous K. Erdmann's classification only in the case where the characteristic of the base field is equal to 2.

Key words and phrases: local algebras of quaternion type, Hochschild cohomology.

UDC: 512.5

Received: 06.05.2019



© Steklov Math. Inst. of RAS, 2024