This book is a (post)graduate textbook on Lie groups and Lie algebras.Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. A review of the required background material is provided in the appendices.
The authors are leading specialists and excellent expositors, who have worked a long time on this book project Includes supplementary material: sn.pub/extras
J.J. Duistermaat
Group actions algebra algebras groups Matrix Representations of algebras Representations of groups Vector space
From the reviews:
"This one is worth to read and to keep on your shelf! It presents the theory of Lie groups not only in the usual way of Lie algebraic treatment, but also from the global point of view. … Every chapter ends with very useful notes on the origins and connections of the chapter’s subject. References are given separately in each chapter. ... It is highly recommended to advanced undergraduate and graduated students in mathematics and physics." (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 75, 2009)