BN.com Gift Guide

Compactifications of Symmetric and Locally Symmetric Spaces / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$95.20
Used and New from Other Sellers
Used and New from Other Sellers
from $44.85
Usually ships in 1-2 business days
(Save 62%)
Other sellers (Hardcover)
  • All (7) from $44.85   
  • New (5) from $52.14   
  • Used (2) from $44.85   

Overview

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.

Read More Show Less

Editorial Reviews

From the Publisher
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)

Read More Show Less

Product Details

  • ISBN-13: 9780817632472
  • Publisher: Birkhauser Verlag
  • Publication date: 12/8/2005
  • Series: Mathematics: Theory and Applications Series
  • Edition description: 2006
  • Edition number: 1
  • Pages: 479
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.06 (d)

Table of Contents

* 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

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)