Introduction to Lie Algebras

Table of Contents

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