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

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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.

Author(s): Nicolas Bourbaki
Series: Elements of mathematics [vol. 7] part3
Edition: xl
Publisher: Springer
Year: 2005

Language: English
Pages: 434
City: Berlin
Tags: LIE GROUPS (ALGEBRA); LIE RINGS AND LIE ALGEBRAS (ALGEBRA); COXETER GROUPS (ALGEBRA)