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Part I: General Theory.-Matrix Lie Groups
The Matrix Exponential
Lie Algebras
Basic Representation Theory
The Baker?Campbell?Hausdorff Formula and its Consequences
Part II: Semisimple Lie Algebras
The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems
Representations of Semisimple Lie Algebras
Further Properties of the Representations
Part III: Compact lie Groups
Compact Lie Groups and Maximal Tori
The Compact Group Approach to Representation Theory
Fundamental Groups of Compact Lie Groups
Appendices.

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