The Coxeter Legacy: Reflections and Projections

The Coxeter Legacy: Reflections and Projections

by Chandler Davis
     
 

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

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Overview

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.

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Product Details

ISBN-13:
9780821837221
Publisher:
American Mathematical Society
Publication date:
12/01/2005
Pages:
320
Product dimensions:
7.10(w) x 10.20(h) x 1.00(d)

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Table of Contents

The isomorphism problem for Coxeter groups1
Coxeter theory : the cognitive aspects17
From Galois and Lie to Tits buildings45
The Coxeter element and the branching law for the finite subgroup of SU(2)63
Hyperbolic Coxeter groups and space forms71
Regular and chiral polytopes in low dimensions87
Polytopes, honeycombs, groups and graphs107
Equivelar polyhedra121
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spaces129
Donald and the golden rhombohedra159
Configurations of points and lines179
Meditations of Ceva's theorem227
Coxeter and the artists : two-way inspiration255
The visual mind : art, mathematics and cinema281
Publications of H. S. M. Coxeter297

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