Lie Groups Beyond an Introduction, Second Edition

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
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

File Available:

Front matter - PDF


Sigurdur Helgason and Mayer Landau have kindly pointed out corrections and other remarks concerning the book.  Those corrections, an addition to Chapter IX, and a few other corrections had all be posted before February 15, 2015.  Those changes are included in the file below.

Short corrections, one addition, and one long correction all posted as of February 15, 2015 (3/27/2023) - PDF

Corrections posted since February 15, 2015, plus some remarks, are included in the following file (3/27/2023):   PDF


Files of abstracts of chapters that are new or substantially changed from the first edition are available as follows.

Abstract of Introduction - PDF
Abstract of Chapter I - PDF
Abstract of Chapter IX - PDF
Abstract of Chapter X - PDF
Abstract of Appendix B - PDF

Last modified: 3/27/2023