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The Coxeter Legacy
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The Coxeter Legacy

The Coxeter Legacy

Reflections and Porjections

Chandler Davis, Erich W. Ellers

320 pages, parution le 06/04/2006

Résumé

Donald Coxeter infused enthusiasm, even passion, for mathematics in people of any age, any background, any profession, any walk of life. Enchanted by Euclidean geometry, he was interested in the beauty, the description, and the exploration of the world around us. His involvement in art and with artists earned him admiration and friends in the intellectual community all over the globe. Coxeter's devotion to polytopes and his interest in the theory of configurations live on in his students and followers. Coxeter groups arise in various subjects in applied mathematics, and they have a permanent place in some of the most demanding and fascinating branches of abstract mathematics, such as Lie algebras, algebraic groups, Chevalley groups, and Kac-Moody groups. This collection of articles by outstanding researchers and expositors is intended to capture the essence of the Coxeter legacy. It is a mixture of surveys, up-to-date information, history, storytelling, and personal memories; and it includes a rich variety of beautiful illustrations.

Sommaire

  • Preface
  • Coxeter Diagrams
  • Coxeter Graph
  • The Isomorphism Problem for Coxeter Groups
  • Coxeter Theory: The Cognitive Aspects
  • From Galois and Lie to Tits Buildings
  • The Coxeter Element and the Branching Law for the
  • Finite Subgroups of SU(2)
  • Hyperbolic Coxeter Groups and Space Forms
  • Regular and Chiral Polytopes in Low Dimensions
  • Polytopes, Honeycombs, Groups and Graphs
  • Equivelar Polyhedra
  • Combinatorics of Sections of Polytopes and Coxeter Groups in Lobachevsky Spaces
  • Donald and the Golden Rhombohedra
  • Configurations of Points and Lines
  • Meditations on Ceva's Theorem
  • Coxeter and the Artists: Two-way Inspiration
  • The Visual Mind: Art, Mathematics and Cinema
  • Publications of H. S. M. Coxeter
  • Index
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Chandler Davis, Erich W. Ellers
Parution 06/04/2006
Nb. de pages 320
Format 18 x 26
Couverture Relié
Poids 806g
Intérieur Noir et Blanc
EAN13 9780821837221
ISBN13 978-0-8218-3722-1

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