| HAL : hal-00502337, version 1 |
| arXiv : 1007.2481 |
| DOI : 10.1007/s00006-009-0187-y |
| Fiche détaillée | Récupérer au format |
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| 7th International Conference on Clifford Algebras and their Applications, Toulouse (France) : France (2005) |
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| Spin and Clifford algebras, an introduction |
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| M. Lachièze-Rey1 |
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| (01/07/2009) |
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| In this short pedagogical presentation, we introduce the spin groups and the spinors from the point of view of group theory. We also present, independently, the construction of the low dimensional Clifford algebras. And we establish the link between the two approaches. Finally, we give some notions of the generalisations to arbitrary spacetimes, by the introduction of the spin and spinor bundles. |
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| 1 : | APC - AstroParticule et Cosmologie |
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| APC - Cosmologie et gravitation |
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| Domaine | : | Physique/Relativité Générale et Cosmologie Quantique Physique/Physique mathématique Mathématiques/Physique mathématique |
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| Clifford algebra – spin – spinor – group theory |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00502337, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00502337 | |
| oai:hal.archives-ouvertes.fr:hal-00502337 | |
| Contributeur : Marc Lachieze-Rey | |
| Soumis le : Mardi 13 Juillet 2010, 17:55:49 | |
| Dernière modification le : Jeudi 30 Août 2012, 17:38:01 | |