| Type de publication : |
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Articles dans des revues avec comité de lecture |
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| Domaine : |
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Mathématiques/Combinatoire
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| Titre : |
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Signed words and permutations, IV; Fixed and pixed points |
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| Auteur(s) : |
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Dominique Foata 1, Guo-Niu Han 1 |
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| Laboratoire : |
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| Résumé : |
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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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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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2006 |
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| Journal : |
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Israël Journal of Mathematics |
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| Audience : |
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internationale |
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| Date de publication : |
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2008 |
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| Volume : |
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163 |
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| Page, identifiant, ... : |
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217-241 |
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| Commentaire : |
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21 pages |
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