Hopf structure for Poisson enveloping algebras. (Q1403526)
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scientific article; zbMATH DE number 1973850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf structure for Poisson enveloping algebras. |
scientific article; zbMATH DE number 1973850 |
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Hopf structure for Poisson enveloping algebras. (English)
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2 September 2003
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The author shows that if \(A\) is a Poisson algebra over a field of characteristic zero, having a Hopf structure, which is compatible with the Poisson structure, then the associative Poisson enveloping algebra \(U(A)\) of \(A\) is a Hopf algebra as well.
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Poisson algebras
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Hopf algebras
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Poisson enveloping algebras
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