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About this book
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.
Keywords
- Lie algebras
- Lie groups
- fields of point distribution
- invariant differential forms
- invariant tensors
Authors and Affiliations
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Ecole normale supérieure, Paris Cedex 05, France
N. Bourbaki
Bibliographic Information
Book Title: Lie Groups and Lie Algebras
Book Subtitle: Chapters 1-3
Authors: N. Bourbaki
Publisher: Springer Berlin, Heidelberg
Copyright Information: Springer-Verlag Berlin Heidelberg 1989
Softcover ISBN: 978-3-540-64242-8Published: 03 August 1998
Edition Number: 1
Number of Pages: XVII, 461
Additional Information: Original French edition published by MASSON, Paris, 1971