Editors:
- Numerous examples and exercises help the reader to master the topic
- Presents both old and new developments of spin groups and structures
- Self-contained book is ideal for both students and researchers
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematical Physics (PMP, volume 50)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Editors and Affiliations
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Laboratoire Emile Picard Institut de Mathématiques de Toulouse, Université Paul Sabatier, France
Pierre Anglès
Bibliographic Information
Book Title: Conformal Groups in Geometry and Spin Structures
Editors: Pierre Anglès
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-0-8176-4643-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2008
Hardcover ISBN: 978-0-8176-3512-1Published: 29 November 2007
eBook ISBN: 978-0-8176-4643-1Published: 16 October 2007
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XXVIII, 284
Number of Illustrations: 40 b/w illustrations
Topics: Geometry, Mathematical Methods in Physics, Group Theory and Generalizations, Number Theory, Associative Rings and Algebras, Linear and Multilinear Algebras, Matrix Theory