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Introduction to Lie Algebras

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Cover of 'Introduction to Lie Algebras'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Ideals and Homomorphisms
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    Chapter 3 Low-Dimensional Lie Algebras
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    Chapter 4 Solvable Lie Algebras and a Rough Classification
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    Chapter 5 Subalgebras of gl(V)
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    Chapter 6 Engel’s Theorem and Lie’s Theorem
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    Chapter 7 Some Representation Theory
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    Chapter 8 Representations of sl(2, C)
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    Chapter 9 Cartan’s Criteria
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    Chapter 10 The Root Space Decomposition
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    Chapter 11 Root Systems
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    Chapter 12 The Classical Lie Algebras
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    Chapter 13 The Classification of Root Systems
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    Chapter 14 Simple Lie Algebras
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    Chapter 15 Further Directions
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    Chapter 16 Appendix A: Linear Algebra
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    Chapter 17 Appendix B: Weyl’s Theorem
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    Chapter 18 Appendix C: Cartan Subalgebras
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    Chapter 19 Appendix D: Weyl Groups
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    Chapter 20 Appendix E: Answers to Selected Exercises
Attention for Chapter 5: Subalgebras of gl(V)
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