On strong \(n\)-Lie-Poisson algebras (Q557061)
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scientific article; zbMATH DE number 2182119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On strong \(n\)-Lie-Poisson algebras |
scientific article; zbMATH DE number 2182119 |
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On strong \(n\)-Lie-Poisson algebras (English)
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23 June 2005
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The paper gives the answer to a question of Dzhumadil'daev about the notions of strong \(n\)-Lie Poisson and \(n\)-Lie Poisson algebras. First, the author recalls the relevant facts about strong \(n\)-Lie-Poisson algebras. Then he proves that strong \(n\)-Lie-Poisson and \(n\)-Lie-Poisson algebras coincide when \(n\) is odd. Finally, he gives an example where the \(n\)-Lie Poisson algebra is not strong (with \(n\) even).
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Poisson algebras
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Lie algebras
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strong \(n\)-Lie Poisson algebras
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