Mirrors and Reflections

Table of Contents

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   Book Overview
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   Chapter 1 Affine Euclidean Space $$\mathbb{A}\mathbb{R}^{n}$$
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   Chapter 2 Isometries of $$\mathbb{A}\mathbb{R}^{n}$$
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   Chapter 3 Hyperplane Arrangements
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   Chapter 4 Polyhedral Cones
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   Chapter 5 Mirrors and Reflections
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   Chapter 6 Systems of Mirrors
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   Chapter 7 Dihedral Groups
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   Chapter 8 Root Systems
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    Chapter 9 Root Systems A n −1 , BC n , D n
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    Chapter 10 Chambers
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    Chapter 11 Generation
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    Chapter 12 Coxeter Complex
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    Chapter 13 Residues
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    Chapter 14 Generalized Permutahedra
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    Chapter 15 Generators and Relations
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    Chapter 16 Classification of Finite Reflection Groups
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    Chapter 17 Construction of Root Systems
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    Chapter 18 Orders of Reflection Groups
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    Chapter 19 Reflection Groups in Three Dimensions
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    Chapter 20 Icosahedron