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The Geometry of Jordan and Lie Structures

Editors
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Wolfgang Bertram

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Part of the Lecture Notes in Mathematics book series (LNM, volume 1754)

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Table of contents (13 chapters)
About this book

Table of contents

Front Matter
Pages I-VI

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The Jordan-Lie functor
1. Chapter I: Symmetric spaces and the Lie-functor
  
  Pages 1-41
2. Chapter II: Prehomogeneous symmetric spaces and Jordan algebras
  
  Pages 42-60
3. Chapter III: The Jordan-Lie functor
  
  Pages 61-80
4. Chapter IV: The classical spaces
  
  Pages 81-96
5. Chapter V: Non-degenerate spaces
  
  Pages 97-115
Conformal group and global theory
1. Chapter VI: Integration of Jordan structures
  
  Pages 116-126
2. Chapter VII: The conformal Lie algebra
  
  Pages 127-142
3. Chapter VIII: Conformal group and conformal completion
  
  Pages 143-170
4. Chapter IX: Liouville theorem and fundamental theorem
  
  Pages 171-183
5. Chapter X: Algebraic structures of symmetric spaces with twist
  
  Pages 184-215
6. Chapter XI: Spaces of the first and of the second kind
  
  Pages 216-239
7. Chapter XII: Tables
  
  Pages 240-253
8. Chapter XIII: Further topics
  
  Pages 254-255
Back Matter
Pages 256-269

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About this book

Keywords

Algebra Algebraic structure Jordan triple system algebra triple system Liouville theorem Symmetric space complexification

Editors and affiliations

Wolfgang Bertram
- 1

1.Institut Elie Cartan Faculté des SciencesUniversité Henri Poincaré (Nancy 1)Vandoeuvre-lès-NancyFrance

Bibliographic information

DOI https://doi.org/10.1007/b76884
Copyright Information Springer-Verlag Berlin Heidelberg 2000
Publisher Name Springer, Berlin, Heidelberg
eBook Packages Springer Book Archive
Print ISBN 978-3-540-41426-1
Online ISBN 978-3-540-44458-9
Series Print ISSN 0075-8434
About this book