<p>The Hochschild cohomology ring for a family of local algebras of dihedral type is described in terms of generators and relations. The family appears in the Erdmann’s classification only in the case, when the base field has characteristic 2.</p>

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Hochschild Cohomology Algebra for Exceptional Local Algebras of Dihedral Type

  • M. A. Kachalova

摘要

The Hochschild cohomology ring for a family of local algebras of dihedral type is described in terms of generators and relations. The family appears in the Erdmann’s classification only in the case, when the base field has characteristic 2.