TY  - BOOK
AU  - Bourbaki,Nicolas
TI  - Lie groups and Lie algebras 
T2  - Elements of mathematics
SN  - 9783540642428
PY  - 1975///
CY  - Paris
PB  - Springer
KW  - Lie groups
KW  - Lie algebras
KW  - fields of point distribution
KW  - invariant differential forms
N1  - Translation of Groupes et algèbres de Lie; Includes index; Bibliography: v. 1, p. 430-433; Part 1. Chapters 1-3
N2  - This is the softcover reprint of the English translation of 1975 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Groupes et algèbres de Lie'. The first chapter describes the theory of Lie algebras, their derivations, their representations and their enveloping algebras. In Ch. 2, free Lie algebras are introduced in order to discuss the exponential, logarithmic and the Hausdorff series. Ch. 3 deals with the theory of Lie groups over R and C and ultrametric fields. It describes the connections between their local and global properties, and the properties of their Lie algebras. It is one of the very best references on this subject
ER  -