Tensor calculus in the free Lie algebra (Q1265720)
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scientific article; zbMATH DE number 1202536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor calculus in the free Lie algebra |
scientific article; zbMATH DE number 1202536 |
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Tensor calculus in the free Lie algebra (English)
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27 September 1998
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Let \(A(X)\) and \(F(X)\) denote the free associative and the free Lie algebras on a set \(x\) respectively and \(\gamma:A(X)\to L(X)\) be the linear map denoting the Lie bracketing from right to left. The author characterizes the Lie elements and the elements of \(\text{Ker } \gamma\) using tensor calculus tools and shows that this characterization is equivalent to those of Friedrichs, Dynkin, Specht and Wever.
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free Lie algebras
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Lie elements
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tensor calculus
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0.7728338837623596
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0.737719714641571
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