Mirrors and Reflections
Mirrors and Reflections presents an intuitive and elementary introduction to finite reflection groups. Starting with basic principles, this book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties. Unique to thi...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York,
2010.
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Σειρά: | Universitext
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Geometric Background
- Affine Euclidean Space
- Isometries of
- Hyperplane Arrangements
- Polyhedral Cones
- Mirrors, Reflections, Roots
- Mirrors and Reflections
- Systems of Mirrors
- Dihedral Groups
- Root Systems
- Root Systems An?1, BCn, Dn
- Coxeter Complexes
- Chambers
- Generation
- Coxeter Complex
- Residues
- Generalized Permutahedra
- Classification
- Generators and Relations
- Classification of Finite Reflection Groups
- Construction of Root Systems
- Orders of Reflection Groups
- Three-Dimensional Reflection Groups
- Reflection Groups in Three Dimensions
- Icosahedron.