An Introduction to Lie Groups and Lie Algebras

ISBN-13: 9781316614105 / Angielski / Miękka / 2017 / 234 str.

Alexander Kirillov Jr

Opis

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

Recenzje

'The book is a very concise and nice introduction to Lie groups and Lie algebras. It seems to be well suited for a course on the subject.' Mathematical Reviews

Spis treści

Preface; 1. Introduction; 2. Lie groups: basic definitions; 3. Lie groups and Lie algebras; 4. Representations of Lie groups and Lie algebras; 5. Structure theory of Lie algebras; 6. Complex semisimple Lie algebras; 7. Root systems; 8. Representations of semisimple Lie Algebras; Overview of the literature; A. Root systems and simple Lie algebras; B. Sample syllabus; List of notation; Index; Bibliography.