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Table of Contents
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.
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.