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Representations of Compact Lie Groups (Graduate Texts in Mathematics)
ISBN 0387136789 / 9780387136783 / 0-387-13678-9
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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. [via]