Compactifications of Symmetric and Locally Symmetric Spaces (Hardcover, 2006 ed.)

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. and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Mathematics: Theory & Applications
Release date:	December 2005
First published:	December 2005
Authors:	Armand Borel • Lizhen Ji
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	479
Edition:	2006 ed.
ISBN-13:	978-0-8176-3247-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	0-8176-3247-6
Barcode:	9780817632472

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