Hochschild cohomology ring for self-injective algebras of tree class \(E_8\) (Q6043873)
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scientific article; zbMATH DE number 7688753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hochschild cohomology ring for self-injective algebras of tree class \(E_8\) |
scientific article; zbMATH DE number 7688753 |
Statements
Hochschild cohomology ring for self-injective algebras of tree class \(E_8\) (English)
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25 May 2023
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This present paper studies the Hochschild cohomology of self-injective basic algebras of the tree class \(E_8\) and continues previous works. This algebra \(E_8\) is derived equivalent to the algebra \(R_8\), obtained from the path algebra of the quiver \(\mathcal{Q}_8\). First, the author constructs a bimodule resolution of \(R_8\). Then, the results are proved in detail.
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Hochschild cohomology
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algebra of free class
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bimodule resolution
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quiver
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path algebra
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