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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010201092 | QA177 C69 2006 | Open Access Book | Book | Searching... |
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Summary
Summary
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.
Table of Contents
The isomorphism problem for Coxeter groupsB. Muhlherr |
Coxeter theory: The cognitive aspectsA. V. Borovik |
From Galois and Lie to Tits buildingsM. Ronan |
The Coxeter element and the branching law for the finite subgroups of $SU(2)$B. Kostant |
Hyperbolic Coxeter groups and space formsR. Kellerhals |
Regular and chiral polytopes in low dimensionsP. McMullen and E. Schulte |
Polytopes, honeycombs, groups and graphsB. Monson and A. I. Weiss |
Equivelar polyhedraJ. M. Wills |
Combinatorics of sections of polytopes and Coxeter groups in Lobachevsky spacesA. Khovanskii |
Donald and the golden rhombohedraM. Senechal |
Configurations of points and linesB. Grunbaum |
Meditations on Ceva's theoremJ. Richter-Gebert |
Coxeter and the artists: Two-way inspirationD. Schattschneider |
The visual mind: Art, mathematics and cinemaM. Emmer |