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Compactification of Symmetric Spaces

  • Yves Guivarc’h
  • Lizhen Ji
  • J. C. Taylor

Part of the Progress in Mathematics book series (PM, volume 156)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 1-13
  3. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 14-21
  4. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 22-47
  5. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 48-73
  6. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 74-94
  7. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 95-102
  8. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 103-115
  9. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 116-130
  10. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 131-156
  11. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 157-164
  12. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 165-185
  13. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 186-194
  14. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 195-212
  15. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 213-230
  16. Yves Guivarc’h, Lizhen Ji, J. C. Taylor
    Pages 231-236
  17. Back Matter
    Pages 237-286

About this book

Introduction

The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spaces systematically and to uniformized the various points of view.

Key features:

* definition and detailed analysis of the Martin compactifications

* new geometric Compactification, defined in terms of the Tits building, that coincides with the Martin Compactification at the bottom of the positive spectrum.

* geometric, non-inductive, description of the Karpelevic Compactification

* study of the well-know isomorphism between the Satake compactifications and the Furstenberg compactifications

* systematic and clear progression of topics from geometry to analysis, and finally to random walks

The work is largely self-contained, with comprehensive references to the literature. It is an excellent resource for both researchers and graduate students.

Keywords

Algebra Compactification Finite Morphism Spaces Symmetries Topology calculus function geometry mathematics proof theorem

Authors and affiliations

  • Yves Guivarc’h
    • 1
  • Lizhen Ji
    • 2
  • J. C. Taylor
    • 3
  1. 1.IRMAR UFR MathématiquesUniversité de Rennes-IRennesFrance
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA
  3. 3.Department of Mathematics and StatisticsMcGill UniversityQuebecCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2452-5
  • Copyright Information Birkhäuser Boston 1998
  • Publisher Name Birkhäuser Boston
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7542-8
  • Online ISBN 978-1-4612-2452-5
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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