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Matrix Groups : An Introduction to Lie Group Theory

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Cover of 'Matrix Groups : An Introduction to Lie Group Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Real and Complex Matrix Groups
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    Chapter 2 Exponentials, Differential Equations and One-parameter Subgroups
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    Chapter 3 Tangent Spaces and Lie Algebras
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    Chapter 4 Algebras, Quaternions and Quaternionic Symplectic Groups
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    Chapter 5 Clifford Algebras and Spinor Groups
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    Chapter 6 Lorentz Groups
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    Chapter 7 Lie Groups
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    Chapter 8 Homogeneous Spaces
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    Chapter 9 Connectivity of Matrix Groups
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    Chapter 10 Maximal Tori in Compact Connected Lie Groups
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    Chapter 11 Semi-simple Factorisation
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    Chapter 12 Roots Systems, Weyl Groups and Dynkin Diagrams
Attention for Chapter 2: Exponentials, Differential Equations and One-parameter Subgroups
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