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| HAL : hal-00135867, version 1 |
| arXiv : math.CO/0606566 |
| Fiche détaillée |  Récupérer au format |
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| Israël Journal of Mathematics 163 (2008) 217-241 |
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| Signed words and permutations, IV; Fixed and pixed points |
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| Dominique Foata 1Guo-Niu Han 1 |
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| (2008) |
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| The flag-major index "fmaj" and the classical length function "$\ell$" are used to construct two $q$-analogs of the generating polynomial for the hyperoctahedral group~$B_n$ by number of positive and negative fixed points (resp. pixed points). Specializations of those $q$-analogs are also derived dealing with signed derangements and desarrangements, as well as several classical results that were previously proved for the symmetric 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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| Domaine | : | Mathématiques/Combinatoire |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/math.CO/0606566 |
| hal-00135867, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00135867 | |
| oai:hal.archives-ouvertes.fr:hal-00135867 | |
| Contributeur : Guo-Niu Han | |
| Soumis le : Vendredi 9 Mars 2007, 12:30:11 | |
| Dernière modification le : Mercredi 1 Octobre 2008, 08:41:05 | |
