This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing material on this clas

This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947-

This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is writt

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

"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compac