Conformal Groups in Geometry and Spin Structures
Language: English
Published by Birkhäuser Boston, 2007
- Hardcover
- Used
Seller: Buchpark, Trebbin, GermanyBuchpark
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Condition: Used - Fine
US$ 69.07
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Zustand: Sehr gut | Seiten: 312 | Sprache: Englisch | Produktart: Bücher | 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 indexThis 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.…
Seller Inventory # 1524563/12
- Title
- Conformal Groups in Geometry and Spin Structures
- Author
- Pierre Anglès
- Publisher
- Birkhäuser Boston
- Publication year
- 2007
- Condition
- Sehr gut
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0817635122
- ISBN 13
- 9780817635121
- Series
- Book 16 of 37: Progress in Mathematical Physics
- Seller catalogs
- Bücher
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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