This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of ...(展开全部)

This book is intended for a one year graduate course on Lie groups. Rather than providing a comprehensive treatment, the author emphasizes the beautiful representation theory of compact groups. However, this book also discusses important topics such as the Bruhat decomposition and the theory of symmetric spaces.

This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl ch...(展开全部)

This book is intended for a one year graduate course on Lie groups. Rather than providing a comprehensive treatment, the author emphasizes the beautiful representation theory of compact groups. However, this book also discusses important topics such as the Bruhat decomposition and the theory of symmetric spaces.

This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl ch...(展开全部)

This introduction to the representation theory of compact Lie groups follows Herman Weyl's original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range...(展开全部)