Hochschild cohomology of truncated basic cycle (Q1392642)
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scientific article; zbMATH DE number 1180472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hochschild cohomology of truncated basic cycle |
scientific article; zbMATH DE number 1180472 |
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Hochschild cohomology of truncated basic cycle (English)
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5 July 1999
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Let \(K\) be an algebraically closed field, and \(Q\) be a quiver which is an oriented cycle. We denote by \(J\) the ideal of the path algebra \(kQ\) which is generated by the arrows and by \(A\) the quotient algebra \(A=kQ/J^t\), for some \(t\geq 2\). The author computes the dimensions of the Hochschild cohomology groups \(H^n(A)\) of \(A\) with respect to the bimodule \(_AA_A\).
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truncated cyclic quivers
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enveloping algebras
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path algebras
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Hochschild cohomology groups
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