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| HAL : hal-00473349, version 1 |
| arXiv : 0812.3974 |
| Fiche détaillée |  Récupérer au format |
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| Braids, Shuffles and Symmetrizers |
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| A. P. IsaevO. V. Ogievetsky 1 |
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| (20/12/2008) |
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| Multiplicative analogues of the shuffle elements of the braid group rings are introduced; in local representations they give rise to certain graded associative algebras (b-shuffle algebras). For the Hecke and BMW algebras, the (anti)-symmetrizers have simple expressions in terms of the multiplicative shuffles. The (anti)-symmetrizers can be expressed in terms of the highest multiplicative 1-shuffles (for the Hecke and BMW algebras) and in terms of the highest additive 1-shuffles (for the Hecke algebras). The spectra and multiplicities of eigenvalues of the operators of the multiplication by the multiplicative and additive 1-shuffles are examined. |
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| 1 : | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Domaine | : | Mathématiques/Algèbres quantiques |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0812.3974 |
| hal-00473349, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00473349 | |
| oai:hal.archives-ouvertes.fr:hal-00473349 | |
| Contributeur : Oleg Ogievetsky | |
| Soumis le : Jeudi 15 Avril 2010, 10:46:06 | |
| Dernière modification le : Jeudi 15 Avril 2010, 10:46:06 | |
