Téléchargez le livre : Compactifications of Symmetric and Locally Symmetric Spaces

Compactifications of Symmetric and Locally Symmetric Spaces



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Éditeur :

Birkhäuser


Collection :

Mathematics: Theory & Applications

Paru le : 2006-07-25



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Description
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). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. 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. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces. 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.
Pages
479 pages
Collection
Mathematics: Theory & Applications
Parution
2006-07-25
Marque
Birkhäuser
EAN papier
9780817632472
EAN PDF
9780817644666
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
47
Taille du fichier
2632 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
126,59 €

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