A condition for algebras associated with a cyclic quiver to be symmetric. (Q946942)
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scientific article; zbMATH DE number 5347935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A condition for algebras associated with a cyclic quiver to be symmetric. |
scientific article; zbMATH DE number 5347935 |
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A condition for algebras associated with a cyclic quiver to be symmetric. (English)
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29 September 2008
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Let \(K\) be a field, \(f(x)\) a monic polynomial in \(K[x]\) and \(K\Gamma\) the path algebra of a cyclic quiver \(\Gamma\) with \(s\) vertices and \(s\) arrows. In this paper, we give a necessary and sufficient condition for the algebra \(K\Gamma/(f(X))\) to be a symmetric algebra, where \(X\) is the sum of all arrows in \(K\Gamma\).
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monic polynomials
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path algebras
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cyclic quivers
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symmetric algebras
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Hochschild cohomology
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0.7127606272697449
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0.7098975777626038
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