Conformal groups in geometry and spin structures
 Author/Creator
 Anglès, Pierre.
 Language
 English.
 Imprint
 Boston : Birkhäuser, c2008.
 Physical description
 xxvii, 283 p. : ill. ; 25 cm.
 Series
 Progress in mathematical physics v. 50.
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QC20.7 .G76 .A54 2008

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QC20.7 .G76 .A54 2008
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Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Foreward by Jaime Keller.Foreword by Jose Bertin.Preface.Overview.Classic Groups: Clifford Algebras, Projective Quadrics, and Spin Groups.Real Conformal Spin Structures.Pseudounitary Conformal Spin Structures.Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Conformal groups play a key role in geometry and spin structures. This book provides a selfcontained 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. It focuses initially on the basics of Clifford algebras. It studies the spaces of spinors for some even Clifford algebras. It examines conformal spin geometry, beginning with an elementary study of the conformal group of the Euclidean plane. It treats covering groups of the conformal group of a regular pseudoEuclidean space, including a section on the complex conformal group. It introduces conformal flat geometry and conformal spinoriality groups, followed by a systematic development of riemannian or pseudoriemannian manifolds having a conformal spin structure.This book discusses links between classical spin structures and conformal spin structures in the context of conformal connections. It examines pseudounitary spin structures and pseudounitary conformal spin structures using the Clifford algebra associated with the classical pseudounitary space. It provides ample exercises with many hints for solutions. It includes 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.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2008
 Responsibility
 Pierre Anglès.
 Series
 Progress in mathematical physics ; v. 50
 ISBN
 0817635122
 9780817635121
 0817646434
 9780817646431