It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix gr

This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and coveri

This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible t