Basic Lie Theory

by Martin Moskowitz, Martin Moskowitz

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or on lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.

444 pages, Hardcover

First published December 30, 2007

Reviews

[Ida · Rating 4 out of 5]

If you're - much like myself - reading this book with only a basic knowledge of group theory then you'd better have at least Wikipedia - or other secondary sources - at hand.