Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications)

Borel, Armand, Ji, Lizhen

ISBN 10: 0817632476 / ISBN 13: 9780817632472

Published by Birkhäuser, 2005

About this Item

Like New. Seller Inventory # ERICA75808176324765

Bibliographic Details

Title: Compactifications of Symmetric and Locally ...

Publisher: Birkhäuser

Publication Date: 2005

Binding: Hardcover

Condition: Like New

Book Type: book

About this title

Synopsis:

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

From the Back Cover:

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.