The Lie structure of enveloping algebras (Q1320166)
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scientific article; zbMATH DE number 554195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lie structure of enveloping algebras |
scientific article; zbMATH DE number 554195 |
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The Lie structure of enveloping algebras (English)
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19 April 1994
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The authors determine for precisely which Lie algebras \(L\) over fields of characteristic \(p>0\) the restricted universal enveloping algebra \(u(L)\) is Lie solvable (for \(p>2\)), Lie nilpotent, or satisfies the Engel condition. One of the consequences of these results is that Lie solvability is equivalent to Lie nilpotence in graded group rings of odd characteristic.
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modular Lie algebras
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restricted universal enveloping algebra
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Engel condition
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Lie solvability
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Lie nilpotence
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graded group rings
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