Progress in Mathematics, vol. 140, Birkhäuser, Boston, 2002.
Introduction: Closed Linear Groups
Lie Algebras and Lie groups
Complex Semisimple Lie Algebras
Universal Enveloping Algebra
Compact Lie Groups
Structure Theory of Semisimple Groups
Advanced Structure Theory
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
Front matter - PDF
Sigurdur Helgason and Mayer Landau have kindly pointed out corrections and other remarks concerning the book. Those corrections, a few other corrections, one addition, and some remarks are included in the file below.
Corrections, an addition, and some remarks (7/7/2017) -
Files of abstracts of chapters that are new or substantially changed from the first edition are available as follows.
Abstract of Introduction -
Abstract of Chapter I - PDF
Abstract of Chapter IX - PDF
Abstract of Chapter X - PDF
Abstract of Appendix B - PDF