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| HAL : hal-00005791, version 1 |
| arXiv : math.QA/0507058 |
| Fiche détaillée |  Récupérer au format |
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| Pacific Journal of Mathematics 229, 2 (2007) 257-292 |
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| Cohomologie de Chevalley des graphes vectoriels |
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| Walid Aloulou 1Didier Arnal 2 |
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| (2007) |
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| The space of smotth functions and vector fields on $\R^d$ is a Lie subalgebra of the (graded) Lie algebra $T_{poly}(\R^d)$, equipped with the Scouten bracket. In this paper, we compute the cohomology of this subalgebra for the adjoint representation in $T_{poly}(\R^d)$, restricting ourselves to the case of cochains defined with purely aerial Kontsevich's graphs, as in [AGM]. We find results which are very similar to the classical Gelfand-Fuchs and de Wilde-Lecomte one. |
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| 1 : | Département de Mathématiques, Unité de recherche Physique Mathématique |
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Faculté des Sciences de Monastir |
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| 2 : | Institut de Mathématiques de Bourgogne (IMB) |
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CNRS : UMR5584 – Université de Bourgogne |
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| Domaine | : | Mathématiques/Algèbres quantiques |
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| cohomologie – graphes – formalité |
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| hal-00005791, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00005791 | |
| oai:hal.archives-ouvertes.fr:hal-00005791 | |
| Contributeur : Didier Arnal | |
| Soumis le : Lundi 4 Juillet 2005, 12:23:57 | |
| Dernière modification le : Lundi 19 Novembre 2012, 09:52:39 | |
