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Imperial Library
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Index
Cover
Frontmatter
1. General Theory
1. Matrix Lie Groups
2. The Matrix Exponential
3. Lie Algebras
4. Basic Representation Theory
5. The Baker–Campbell–Hausdorff Formula and Its Consequences
2. Semisimple Lie Algebras
6. The Representations of s l ( 3 ; ℂ ) $$\mathsf{sl}(3; \mathbb{C})$$
7. Semisimple Lie Algebras
8. Root Systems
9. Representations of Semisimple Lie Algebras
10. Further Properties of the Representations
3. Compact Lie Groups
11. Compact Lie Groups and Maximal Tori
12. The Compact Group Approach to Representation Theory
13. Fundamental Groups of Compact Lie Groups
Erratum
Backmatter
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