The Coxeter Legacy

Reflections and Porjections

Chandler Davis, Erich W. Ellers

320 pages, parution le 06/04/2006

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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

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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