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Compactifications of symmetric and locally symmetric spaces

Author: Armand Borel; Lizhen Ji
Publisher: Boston : Birkhäuser, ©2006.
Series: Mathematics (Boston, Mass.)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Database:WorldCat
Summary:
"The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Borel, Armand.
Compactifications of symmetric and locally symmetric spaces.
Boston : Birkhäuser, ©2006
(DLC) 2005934870
(OCoLC)62927432
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Armand Borel; Lizhen Ji
ISBN: 9780817644666 0817644660 0817632476 9780817632472
OCLC Number: 209927552
Description: 1 online resource (xiii, 479 pages).
Contents: Compactifications of Riemannian Symmetric Spaces --
Review of Classical Compactifications of Symmetric Spaces --
Uniform Construction of Compactifications of Symmetric Spaces --
Properties of Compactifications of Symmetric Spaces --
Smooth Compactifications of Semisimple Symmetric Spaces --
Smooth Compactifications of Riemannian Symmetric Spaces G/K --
Semisimple Symmetric Spaces G/H --
The Real Points of Complex Symmetric Spaces Defined over? --
The DeConcini-Procesi Compactification of a Complex Symmetric Space and Its Real Points --
The Oshima-Sekiguchi Compactification of G/K and Comparison with --
Compactifications of Locally Symmetric Spaces --
Classical Compactifications of Locally Symmetric Spaces --
Uniform Construction of Compactifications of Locally Symmetric Spaces --
Properties of Compactifications of Locally Symmetric Spaces --
Subgroup Compactifications of??G --
Metric Properties of Compactifications of Locally Symmetric Spaces??X.
Series Title: Mathematics (Boston, Mass.)
Responsibility: Armand Borel, Lizhen Ji.
More information:

Abstract:

Noncompact symmetric and locally symmetric spaces appear in many mathematical theories, including analysis, number theory, algebraic geometry and algebraic topology. This book provides an  Read more...

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From the reviews: "In the book under review the authors pursue three chief goals: to give a comprehensive overview of existing compactifications ... to explain the relations among them and to provide Read more...

 
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