Lie Groups Beyond an Introduction, Second Edition (Printed)

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

Files Available:

The following files are available on a download page:

• Front cover and whole inside together,
• Clickable version of front cover and inside together.

Corrections:

Corrections posted through 9/1/2023:   PDF.  This list of corrections is included but not implemented in the digital second edition.