We see that javascript is disabled or not supported by your browser - javascript is needed for important actions on the site. Read more

What's New - Home - Login

Member $avings: $81,546,142.87 | Books Available: 800,360 | Members Online: 107

Swap Used Books - Buy New Books at Great Prices!

How To Swap Books Sign Up Search submenu

PBS Market (New Books)

Gift Buying Guide

Book Browser Advanced Search Books Posted Today Member Book Reviews Award Winning Books NYT Best Sellers Amazon Best Sellers Most Traveled Copies Club Wish List

Discussion Forums Book Lists

Club Lists My Book Lists My Watched Lists Create a List

Blog Donations

School Donation Program In Memory of... Military Donation Program Friends of PBS

Box-O-Books Maps The Eclectic Pen Fun Stuff

20 Questions Sudoku Bookmark Creator

Top 100

Requests Posts Swappers Referrers Reviewers

Pulse of PBS Spread The Word

Invite Friends Bookmarks Facebook Page Facebook App More Ways...

Photo Gallery Recipes Club Tag Cloud Member Testimonials

Help Center submenu

How To Swap Books Browse Help Docs Ask the Librarian PBS Member Icons Live Help

Kiosk

PBS Market (New Books) Go Shopping Buy Credits Buy PBS Money Upgrade Membership Gift Certificates Transfer Credits

Need Help?

Search - Lie Groups Beyond an Introduction

Lie Groups Beyond an Introduction
Author: Anthony W. Knapp

From reviews of the first edition: "The important feature of the present book is that it starts from the beginning (with only a very modest knowledge assumed) and covers all important topics... The book is very carefully organized [and] ends with 20 pages of useful historic comments. Such a comprehensive and carefully written treatment of fundam... more »entals of the theory will certainly be a basic reference and text book in the future." -- Newsletter of the EMS "This is a fundamental book and none, beginner or expert, could afford to ignore it. Some results are really difficult to be found in other monographs, while others are for the first time included in a book." -- Mathematica "Each chapter begins with an excellent summary of the content and ends with an exercise section... This is really an outstanding book, well written and beautifully produced. It is both a graduate text and a monograph, so it can be recommended to graduate students as well as to specialists." -- Publicationes Mathematicae Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups. Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the Cartan-Weyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for self-study or for courses in the second year of graduate study and beyond.

ISBN-13: 9780817642594
ISBN-10: 0817642595
Publication Date: 8/21/2002
Pages: 812
Rating:

0 stars, based on 0 rating

Publisher: Birkhauser
Book Type: Hardcover
Members Wishing: 0
Reviews: Amazon | Write a Review

Genres:

Science & Math >> Mathematics >> Pure Mathematics >> Algebra >> Linear
Science & Math >> Mathematics >> Pure Mathematics >> Group Theory
Medicine >> General
Engineering & Transportation >> Professional Science >> Mathematics >> Pure Mathematics >> Algebra
Engineering & Transportation >> Professional Science >> Mathematics >> Pure Mathematics >> Group Theory

Back to the Top ↑

Search - Lie Groups Beyond an Introduction

Loading...