An Introduction to Lie Groups and Lie Algebras.

Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples.

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Bibliographic Details
Main Author: Kirillov, Alexander
Format: eBook
Language:English
Published: Leiden : Cambridge University Press, 2008.
Series:Cambridge studies in advanced mathematics.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Cover; Half-title; Title; Copyright; Dedication; Contents; 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; Appendix A Root systems and simple Lie algebras; Appendix B Sample syllabus; List of notation; Bibliography; Index.