The algebraic and geometric classification of antiassociative algebras (Q2116793)
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scientific article; zbMATH DE number 7493069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The algebraic and geometric classification of antiassociative algebras |
scientific article; zbMATH DE number 7493069 |
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The algebraic and geometric classification of antiassociative algebras (English)
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18 March 2022
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An algebra is called antiassociative if it satisfies the identity \((xy)z + x(yz) = 0\). Such algebras are \(3\)-step nilpotent. The authors classify antiassociative algebras of dimension \(3\), \(4\), and \(5\), and describe the corresponding algebraic varieties and their irreducible components.
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antiassociative algebra
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low-dimensional algebra
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0.9387479
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0.9085897
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0.9076873
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0.90171754
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0.8996787
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