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| HAL : hal-00143356, version 1 |
| arXiv : math.CO/0503011 |
| Fiche détaillée |  Récupérer au format |
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| A Solomon descent theory for the wreath products G ~ S_n |
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| Pierre Baumann 1Christophe Hohlweg 2 |
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| (01/03/2005) |
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| We propose an analogue of Solomon's descent theory for the case of a wreath product G ~ S_n, where G is a finite abelian group. Our construction mixes a number of ingredients: Mantaci-Reutenauer algebras, Specht's theory for the representations of wreath products, Okada's extension to wreath products of the Robinson-Schensted correspondence, Poirier's quasisymmetric functions. We insist on the functorial aspect of our definitions and explain the relation of our results with previous work concerning the hyperoctaedral group. |
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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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| 2 : | The Fields Institute |
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Ontario Ministry of Training, Colleges and Universities and NSERC |
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| Domaine | : | Mathématiques/Combinatoire Mathématiques/Anneaux et algèbres |
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| wreath products – Solomon descent algebra – quasisymmetric functions |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/math.CO/0503011 |
| hal-00143356, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00143356 | |
| oai:hal.archives-ouvertes.fr:hal-00143356 | |
| Contributeur : Pierre Baumann | |
| Soumis le : Mercredi 25 Avril 2007, 13:10:44 | |
| Dernière modification le : Mercredi 1 Octobre 2008, 15:05:48 | |
