Structure and Geometry of Lie Groups

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Concrete Matrix Groups
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   Chapter 3 The Matrix Exponential Function
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   Chapter 4 Linear Lie Groups
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   Chapter 5 Elementary Structure Theory of Lie Algebras
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   Chapter 6 Root Decomposition
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   Chapter 7 Representation Theory of Lie Algebras
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   Chapter 8 Smooth Manifolds
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    Chapter 9 Basic Lie Theory
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    Chapter 10 Smooth Actions of Lie Groups
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    Chapter 11 Normal Subgroups, Nilpotent and Solvable Lie Groups
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    Chapter 12 Compact Lie Groups
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    Chapter 13 Semisimple Lie Groups
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    Chapter 14 General Structure Theory
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    Chapter 15 Complex Lie Groups
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    Chapter 16 Linearity of Lie Groups
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    Chapter 17 Classical Lie Groups
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    Chapter 18 Nonconnected Lie Groups