The tensor product of Lie soluble algebras (Q1924922)
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scientific article; zbMATH DE number 938549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The tensor product of Lie soluble algebras |
scientific article; zbMATH DE number 938549 |
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The tensor product of Lie soluble algebras (English)
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12 January 1997
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Let \(A\) and \(B\) be associative algebras over a field of characteristic \(p\geq 0\). We show that if \(A\) and \(B\) are nilpotent or metabelian as Lie algebras then their tensor product \(A\otimes B\) is Lie soluble. We also give examples showing that this result is the best possible of its kind.
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Lie nilpotent algebras
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Lie metabelian algebras
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Lie soluble algebras
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Lie algebras
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tensor products
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