Linear bundles of Lie algebras and their applications (Q2738288)
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scientific article; zbMATH DE number 1639442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear bundles of Lie algebras and their applications |
scientific article; zbMATH DE number 1639442 |
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Linear bundles of Lie algebras and their applications (English)
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30 August 2001
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linear bundles of Lie algebras
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Poisson-Lie tensors
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Clebsch systems
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Neumann systems
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0.9364124
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0.9357848
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The paper is concerned with families of Lie brackets on a vector space linearly parametrized by elements of another vector space. Such families are called bundles of Lie algebras. NEWLINENEWLINENEWLINEThe author analyzes several algebraic properties of these families. Moreover, he discusses applications to the theory of integrable systems, including Clebsch and Neumann systems.
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