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<p>The Hochschild cohomology ring for algebras of dihedral type, which form the family <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7698_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(D\left(3\mathcal{K}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mfenced close=")" open="("> <mn>3</mn> <mi mathvariant="script">K</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation> (from the famous K. Erdmann’s classification) over an algebraically closed field with characteristic different from 2, is described in terms of generators and relations.</p>

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Hochschild Cohomology of Algebras of Dihedral Type. IX. The Hochschild Cohomology Algebra for the Family \(D\left(3\mathcal{K}\right)\) in Characteristic Different from 2

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • A. I. Generalov,
  • M. A. Kachalova,
  • P. A. Mostovskij

摘要

The Hochschild cohomology ring for algebras of dihedral type, which form the family \(D\left(3\mathcal{K}\right)\) D 3 K (from the famous K. Erdmann’s classification) over an algebraically closed field with characteristic different from 2, is described in terms of generators and relations.