This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level.

Review of the first edition: This is an excellent book.

The second part of the book contains, for the first time in a textbook, a detailed exposition of Lazard's algebraic approach to compact p-adic Lie groups, via his notion of a p-valuation, together with its application to the structure of ...

Linear Lie Groups

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68.

Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups.

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

This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations.

Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text.