Compactifications of Symmetric Spaces
Authors: Guivarc'h, Yves, Ji, Lizhen, Taylor, John C.
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- About this book
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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.
- Table of contents (15 chapters)
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Introduction
Pages 1-13
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Subalgebras and Parabolic Subgroups
Pages 14-21
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Geometrical Constructions of Compactifications
Pages 22-47
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The Satake-Furstenberg Compactifications
Pages 48-73
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The Karpelevič Compactification
Pages 74-94
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Table of contents (15 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Compactifications of Symmetric Spaces
- Authors
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- Yves Guivarc'h
- Lizhen Ji
- John C. Taylor
- Series Title
- Progress in Mathematics
- Series Volume
- 156
- Copyright
- 1998
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Birkhäuser Boston
- eBook ISBN
- 978-1-4612-2452-5
- DOI
- 10.1007/978-1-4612-2452-5
- Hardcover ISBN
- 978-0-8176-3899-3
- Softcover ISBN
- 978-1-4612-7542-8
- Series ISSN
- 0743-1643
- Edition Number
- 1
- Number of Pages
- XIII, 286
- Topics
