Lie Groups Beyond an Introduction
Author | : Anthony W. Knapp |
Publisher | : Springer Science & Business Media |
Total Pages | : 622 |
Release | : 2013-03-09 |
ISBN-13 | : 9781475724530 |
ISBN-10 | : 1475724535 |
Rating | : 4/5 (35 Downloads) |
Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.