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Conformal Groups in Geometry and Spin Structures

'Progress in Mathematical Physics'. Auflage 2008. 40 Abbildungen. Sprache: Englisch.
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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 r… weiterlesen
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Conformal Groups in Geometry and Spin Structures als Buch

Produktdetails

Titel: Conformal Groups in Geometry and Spin Structures
Autor/en: Pierre Angles

ISBN: 0817635122
EAN: 9780817635121
'Progress in Mathematical Physics'.
Auflage 2008.
40 Abbildungen.
Sprache: Englisch.
Springer Basel AG

29. November 2007 - gebunden - XXVIII

Beschreibung

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.

Inhaltsverzeichnis

From the contents:
Preface
- Algebraic Tools
- Real Conformal Spin Geometry
- Conformal symplectic real geometry
- Conformal pseudo-unitary spin structures
- Conclusion
- Hints and complete proofs of the exercices
- References
- Index

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