Conformal Groups in Geometry and Spin Structures
Conformal groups play a key role in geometry and spin structures. This book provides a self-contained overview of this important area of mathematical physics, beginning with its origins in the works of Cartan and Chevalley and progressing to recent research in spinors and conformal geometry. Key top...
Guardado en:
| Autor principal: | |
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| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2008. |
| Colección: | Progress in Mathematical Physics
50 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 306 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conformal groups in geometry and spin structures, Pierre Anglès, Boston, Birkhauser, 2008, 1 vol. (XXVII-283 p.), Progress in mathematical physics, 978-0-8176-3512-1 • Conformal Groups in Geometry and Spin Structures, Texte imprimé, 9780817670443 • Conformal groups in geometry and spin structures, Pierre Anglès, Boston, Birkhauser, 2008, 1 vol. (XXVII-283 p.), Progress in mathematical physics, 978-0-8176-3512-1 |
| Sumario: | Conformal groups play a key role in geometry and spin structures. This book provides a self-contained overview of this important area of mathematical physics, beginning with its origins in the works of Cartan and Chevalley and progressing to recent research in spinors and conformal geometry. Key topics and features: * Focuses initially on the basics of Clifford algebras * Studies the spaces of spinors for some even Clifford algebras * Examines conformal spin geometry, beginning with an elementary study of the conformal group of the Euclidean plane * Treats covering groups of the conformal group of a regular pseudo-Euclidean space, including a section on the complex conformal group * Introduces conformal flat geometry and conformal spinoriality groups, followed by a systematic development of riemannian or pseudo-riemannian manifolds having a conformal spin structure * Discusses links between classical spin structures and conformal spin structures in the context of conformal connections * Examines pseudo-unitary spin structures and pseudo-unitary conformal spin structures using the Clifford algebra associated with the classical pseudo-unitary space * Ample exercises with many hints for solutions * Comprehensive bibliography and index This text is suitable for a course in mathematical physics at the advanced undergraduate and graduate levels. It will also benefit researchers as a reference text. |
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| Notas: | L'impression du document génère 306 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografía: | Bibliogr. Index |
| ISBN: | 9780817646431 (En ligne) |
| ISSN: | 2197-1846 |
| Acceso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |