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Lie Groups, Lie Algebras, and Representations

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Cover of 'Lie Groups, Lie Algebras, and Representations'

Table of Contents

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    Book Overview
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    Chapter 1 Matrix Lie Groups
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    Chapter 2 The Matrix Exponential
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    Chapter 3 Lie Algebras
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    Chapter 4 Basic Representation Theory
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    Chapter 5 The Baker–Campbell–Hausdorff Formula and Its Consequences
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    Chapter 6 The Representations of $$\mathsf{sl}(3; \mathbb{C})$$
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    Chapter 7 Semisimple Lie Algebras
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    Chapter 8 Root Systems
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    Chapter 9 Representations of Semisimple Lie Algebras
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    Chapter 10 Further Properties of the Representations
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    Chapter 11 Compact Lie Groups and Maximal Tori
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    Chapter 12 The Compact Group Approach to Representation Theory
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    Chapter 13 Fundamental Groups of Compact Lie Groups
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    Chapter 14 Erratum: Lie Groups, Lie Algebras, and Representations
Attention for Chapter 3: Lie Algebras
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