Ebook: Lie groups and Lie algebras, Part III (ch. 7-9)

The purpose of the Elements of Mathematics by Nicolas Bourbaki is to provide a formal, systematic presentation of mathematics from their beginning. This volume concludes the book on Lie Groups and Lie Algebras by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. It contains the following chapters:

7. Cartan Subalgebras and Regular Elements

8. Split Semi-Simple Lie Algebras

9. Compact Real Lie Groups

This is a reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, chapitres 7 à 9.