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| HAL : hal-00129698, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Affine Kac-Moody Algebras Graded by Finite Root Systems |
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| Josiane Nervi-Gasparini 1 |
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| (08/04/2003) |
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| The purpose of this paper is to study the gradations of the affine Kac-Moody algebras by finite root systems as defined by S. Berman and R. Moody. We first prove a transitivity property which allows to give a large class of such root-graded algebras. Then we prove a series of determining conditions and we obtain, in particular, that the twisted exceptional affine algebras are not graded by any finite root system. We study then more particularly the case of the non twisted algebras graded by a simply laced root system and we give the full classification.Finally, we give all the A_k-gradations. |
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| 1 : | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I |
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| Domaine | : | Mathématiques/Anneaux et algèbres |
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| "affine Kac-Moody algebras – root-graded algebras" |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00129698, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00129698 | |
| oai:hal.archives-ouvertes.fr:hal-00129698 | |
| Contributeur : Véronique Bertrand | |
| Soumis le : Jeudi 8 Février 2007, 15:00:12 | |
| Dernière modification le : Jeudi 8 Février 2007, 17:07:27 | |
