Introduction: Closed Linear Groups
Lie Algebras and Lie Groups
Complex Semisimple Lie Algebras
Universal Enveloping Algebra
Compact Lie Groups
Finite-dimensional Representations
Structure Theory of Semisimple Groups
Advanced Structure Theory
Integration
Induced Representations and Branching Theorems
Prehomogeneous Vector Spaces
Appendix A: Tensors, Filtrations, and Gradings
Appendix B: Lie's Third Theorem
Appendix C: Data for Simple Lie Algebras
Files Available:
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Corrections:
Pages 813–820 include a list of corrections to the printed edition
of Lie Groups Beyond an Introduction, Second Edition, as
of June 30, 2023. No further corrections have been reported
for the digital second edition.