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’". --G.B. Seligman in MathReviews.
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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 contains chapters 4 to 6 of the book on Lie Groups and Lie Algebras. It is devoted to root systems, Coxeter groups and Tits systems, which occur in the study of analytic or algebraic Lie groups. It contains the following chapters:
4. Coxeter Groups and Tits Systems.
5. Groups Generated by Reflections.
6. Root systems.
This is the softcover reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, chapitres 4 à 6.Language Notes:
Text: English (translation)
Original Language: French
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