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| HAL : hal-00438862, version 1 |
| DOI : 10.1142/S0219498806001740 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Algebra and Its Applications 5, 3 (2006) 307 - 332 |
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| THE AMITSUR–LEVITZKI THEOREM FOR THE ORTHOSYMPLECTIC LIE SUPERALGEBRA osp(1, 2n) |
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| Pierre-Alexandre Gie 1Georges Pinczon 1 |
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| (2006) |
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| Based on Kostant's cohomological interpretation of the Amitsur–Levitzki theorem, we prove a super version of this theorem for the Lie superalgebras osp(1, 2n). We conjecture that no other classical Lie superalgebra can satisfy an Amitsur–Levitzki type super identity. We show several (super) identities for the standard super polynomials. Finally, a combinatorial conjecture on the standard skew supersymmetric polynomials is stated. |
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| 1 : | Institut de Mathématiques de Bourgogne (IMB) |
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CNRS : UMR5584 – Université de Bourgogne |
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| Domaine | : | Mathématiques/Théorie des représentations |
| hal-00438862, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00438862 | |
| oai:hal.archives-ouvertes.fr:hal-00438862 | |
| Contributeur : Rosane Ushirobira | |
| Soumis le : Vendredi 4 Décembre 2009, 22:36:27 | |
| Dernière modification le : Vendredi 4 Décembre 2009, 23:00:22 | |
