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Lie Groups and Lie Algebras

Chapters 1-3

  • Textbook
  • © 1989

Overview

Authors:
  1. N. Bourbaki

    1. Ecole normale supérieure, Paris Cedex 05, France

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Keywords

  • Lie algebras
  • Lie groups
  • fields of point distribution
  • invariant differential forms
  • invariant tensors

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.

Authors and Affiliations

  • 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

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