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| HAL : hal-00705383, version 1 |
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| Double extensions of Lie algebras of Kac-Moody type and applications to some hamiltonian systems |
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| Claude Roger 1 |
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| (07/06/2012) |
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| We shall describe some Lie algebras of Kac-Moody type, construct their double extensions, central and by derivations; in some cases, the corresponding Lie groups will also be constructed. The case of Lie algebra of unimodular vector fields will be studied in more details. We use the linear Poisson structure on their regular duals to construct generalizations of some in nite dimensional hamiltonian systems, such as magnetohydrodynamics. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) : - LYON – Université Jean Monnet - Saint-Etienne |
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| Domaine | : | Mathématiques/Physique mathématique |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00705383, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00705383 | |
| oai:hal.archives-ouvertes.fr:hal-00705383 | |
| Contributeur : Aurélie Reymond | |
| Soumis le : Jeudi 7 Juin 2012, 15:19:34 | |
| Dernière modification le : Jeudi 7 Juin 2012, 15:38:04 | |
