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Lie Groups and Lie Algebras

Chapters 4-6

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Bibliografische Daten
ISBN/EAN: 9783540691716
Sprache: Englisch
Umfang: XII, 300 S.
Auflage: 1. Auflage 2008
Einband: kartoniertes Buch

Beschreibung

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.

Inhalt

Ch. IV. Coxeter Groups and Tits Systems: Coxeter Groups. Tits Systems.- Ch. V. Groups Generated by Reflections: Hyperplanes, Chambers and Facets. Reflections. Groups of Displacements Generated by Reflections. The Geometric Representation of a Coxeter Group. Invariants in the Symmetric Algebra. The Coxeter Transformation.- Ch. VI. Root Systems: Root Systems. Affine Weyl Group. Exponential Invariants. Classification of Root Systems.- Historical Note.