Coxeter Groups
Mostrando 1-2 de 2 artigos, teses e dissertações.
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1. POLITOPOS DE GOSSET E OS GRUPOS DE COXETER E(N) / GOSSET POLYTOPES AND THE COXETER GROUPS E(N)
A convex polytope is semiregular if all its faces are regular and the group of isometries acts transitively over vertices. The classification of semiregular polytopes includes a few infinite families, some low dimensional exceptions and a family, the Gosset polytopes, which is defined for dimension 3 to 8. Certain groups of isometries of R(n) generated by re
Publicado em: 2010
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2. Subvariedades isoparamétricas do espaço Euclidiano / Isoparametric submanifolds of Euclidian space
The goal of this dissertation is to present an introduction to the study of isoparametric submanifolds of Euclidean space. We begin with an introduction to the history of the subject. Then we present the basic results of submanifold theory of space forms. We compute the fundamental equations of first and second order, and we prove the fundamental theorem of
Publicado em: 2008