Representations of Compact Lie Groups
Theodor Brocker, Tammo Tom Dieck
Springer-Verlag
This introduction to the representation theory of compact Lie groups follows Herman Weylâ€™s original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.