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Lie Groups and Lie Algebras

Chapters 4-6

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  • © 2002
  • Latest edition

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About this book

From the reviews of the French edition

"This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems". A historical note provides a survey of the contexts in which groups generated by reflections have arisen. A brief introduction includes almost the only other mention of Lie groups and algebras to be found in the volume. Thus the presentation here is really quite independent of Lie theory. The choice of such an approach makes for an elegant, self-contained treatment of some highly interesting mathematics, which can be read with profit and with relative ease by a very wide circle of readers (and with delight by many, if the reviewer is at all representative)." (G.B. Seligman in MathReviews)

Keywords

  • BN-pairs
  • Coxeter groups
  • Tits systems
  • Weyl groups
  • algebra
  • root systems
  • semi-simple Lie algebras
  • abdominal surgery

Authors and Affiliations

  • Ecole normale supérieure, Paris Cedex 05, France

    N. Bourbaki

Bibliographic Information

  • Book Title: Lie Groups and Lie Algebras

  • Book Subtitle: Chapters 4-6

  • Authors: N. Bourbaki

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Softcover ISBN: 978-3-540-69171-6Published: 30 September 2008

  • Edition Number: 1

  • Number of Pages: XII, 300

  • Additional Information: Original French edition published with the title: Éléments de Matematique, Groupes et Algèbres de Lie 4,5, e 6, 1968

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