Progress in Mathematics, vol. 140, Birkhäuser, Boston, 2002.
ISBN: 0-8176-4259-5.
812+xviii pages.
Chapter Titles:
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
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Corrections:
Corrections posted through 9/1/2023: PDF. This list
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second edition.