Finite Reflection Groups
Identifieur interne : 002334 ( Main/Exploration ); précédent : 002333; suivant : 002335Finite Reflection Groups
Auteurs : Kenneth S. Brown [États-Unis]Source :
Abstract
Abstract: This book is about connections between groups and geometry. We begin by considering groups of isometries of Euclidean space generated by hyperplane reflections. In order to avoid technicalities in this introductory chapter, we confine our attention to finite groups and we require our reflections to be with respect to linear hyperplanes (i.e., hyperplanes passing through the origin). We will generalize this in Chapter VI, replacing “finite” by “discrete” and “linear” by “affine”.
Url:
DOI: 10.1007/978-1-4612-1019-1_1
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract: This book is about connections between groups and geometry. We begin by considering groups of isometries of Euclidean space generated by hyperplane reflections. In order to avoid technicalities in this introductory chapter, we confine our attention to finite groups and we require our reflections to be with respect to linear hyperplanes (i.e., hyperplanes passing through the origin). We will generalize this in Chapter VI, replacing “finite” by “discrete” and “linear” by “affine”.</div>
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