Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view (Q1196087)
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scientific article; zbMATH DE number 69960
| Language | Label | Description | Also known as |
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| English | Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view |
scientific article; zbMATH DE number 69960 |
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Drinfeld-Sokolov reduction on a simple Lie algebra from the bihamiltonian point of view (English)
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29 November 1992
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This paper is a part of a project of F. Magri's group, aiming to frame all the properties of soliton equations in the theory of bihamiltonian systems. It is shown that the Drinfeld-Sobolev reduction is a particular case of a reduction process for Poisson manifolds suggested by Marsden and Ratiu.
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soliton equations
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bihamiltonian systems
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Drinfeld-Sobolev reduction
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Poisson manifolds
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