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| HAL : hal-00578624, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (21-03-2011) | v2 (23-03-2011) |
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| On the automorphism group of the first Weyl algebra |
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| Matthias Kouakou 1Alexis Tchoudjem 2 |
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| (10/02/2011) |
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| Let $A_{1} := k [t, \partial ]$ be the first algebra over a field $k$ of characteristic zero. One can associate to each right ideal $I$ of $A_1$ its Stafford subgroup, which is a subgroup of $\Aut_k(A_1)$, the automorphism group of the ring $A_1$. In this article we show that each Stafford subgroup is equal to its normalizer. For that, we study when the Stafford subgroup of a right ideal of $A_1$ contains a given Stafford subgroup. |
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| 1 : | Université de Cocody |
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Université de Cocody |
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| 2 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Anneaux et algèbres Mathématiques/Théorie des représentations |
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| Weyl algebra – Stafford subgroup – Automorphism group |
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| hal-00578624, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00578624 | |
| oai:hal.archives-ouvertes.fr:hal-00578624 | |
| Contributeur : Alexis Tchoudjem | |
| Soumis le : Lundi 21 Mars 2011, 16:56:57 | |
| Dernière modification le : Lundi 21 Mars 2011, 18:53:42 | |
