Lie Groups Beyond an Introduction, Second Edition
### 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

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: **

Table of Contents -
PDF

Preface to the Second Edition -
PDF

Preface to the First Edition -
PDF

**Corrections:**

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 (2/16/2015) -
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: 2/16/2015