Progress in Mathematics, vol. 140, BirkhĂ¤user, 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

** File Available: **

Front matter - PDF

**Corrections:**

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

** Abstracts: **

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