Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology
* Preface * Introduction Part I: 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 Part II: 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 R * The DeConcini-Procesi Compactification of a Complex Symmetric Space and its Real Points * The Oshima-Sekiguchi Compactification of G / K and Comparison with G/Hw (R) Part III: 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 o G * Metric Properties of Compactifications of Locally Symmetric Spaces o X * References * Index
Show moreIntroduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology
* Preface * Introduction Part I: 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 Part II: 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 R * The DeConcini-Procesi Compactification of a Complex Symmetric Space and its Real Points * The Oshima-Sekiguchi Compactification of G / K and Comparison with G/Hw (R) Part III: 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 o G * Metric Properties of Compactifications of Locally Symmetric Spaces o X * References * Index
Show moreCompactifications 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.
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 a uniform construction. … The style is user-friendly … . It can be highly recommended and will be very useful to anyone, graduate student or research mathematician, interested in the geometry and topology of (locally) symmetric spaces."(Enrico Leuzinger, Mathematical Reviews, Issue 2007 d)
|
Ask a Question About this Product More... |
|
