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 (8/19/11) -
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