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Lie Groups, Lie Algebras, and Representations [2015]
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Matrix Lie Groups
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The Matrix Exponential
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Lie Algebras
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Basic Representation Theory
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The Baker–Campbell–Hausdorff Formula and Its Consequences
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The Representations of <inline-formula><alternatives><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mi>l</mi><mo>(</mo><mn>3</mn><mo>;</mo><mi>ℂ</mi><mo>)</mo></math><tex-math>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathsf{sl}(3; \mathbb{C})$$\end{document}</tex-math><inline-graphic></inline-graphic></alternatives></inline-formula>
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Semisimple Lie Algebras
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Root Systems
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Representations of Semisimple Lie Algebras
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Further Properties of the Representations
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Compact Lie Groups and Maximal Tori
- 12
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The Compact Group Approach to Representation Theory
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Fundamental Groups of Compact Lie Groups
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Erratum
