书目名称 | Conformal Groups in Geometry and Spin Structures |
编辑 | Pierre Anglès |
视频video | http://file.papertrans.cn/236/235417/235417.mp4 |
概述 | 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. |
丛书名称 | Progress in Mathematical Physics |
图书封面 |  |
描述 | .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 m |
出版日期 | Book 2008 |
关键词 | Area; Volume; mathematical physics; quaternions; spin groups; spin structures; matrix theory |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-4643-1 |
isbn_ebook | 978-0-8176-4643-1Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
issn_series | 1544-9998 |
copyright | Birkhäuser Boston 2008 |