117,69 €
versandkostenfrei*

inkl. MwSt.
Versandfertig in 2-4 Wochen
0 °P sammeln
    Gebundenes Buch

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…mehr

Produktbeschreibung
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

  • Produktdetails
  • Mathematics: Theory & Applications
  • Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
  • Artikelnr. des Verlages: 10932667
  • 2006
  • Seitenzahl: 496
  • Erscheinungstermin: 8. Dezember 2005
  • Englisch
  • Abmessung: 241mm x 160mm x 32mm
  • Gewicht: 926g
  • ISBN-13: 9780817632472
  • ISBN-10: 0817632476
  • Artikelnr.: 14733210
Autorenporträt
Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). 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 book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.
Inhaltsangabe
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

Rezensionen
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)