Lie Groups: Beyond an Introduction

by Anthony W. Knapp

This book 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. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.

Genres: Mathematics, Algebra, Science

830 pages, Hardcover

First published January 1, 1996

Reviews

[Max · Rating 5 out of 5]

The best book on the topic.

[Ryan · Rating 5 out of 5]

Indispensable for anyone wishing to understand Lie Groups, algebras and root systems. I wish some examples were more developed and a bit more explicit at times, but Knapp comes with an excellent index and list of notation that makes navigation a breeze.