Mirrors and Reflections : The Geometry of Finite Reflection Groups
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...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2010. |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mirrors and reflections, the geometry of finite reflection groups, Alexandre V. Borovik, Anna Borovik, New York, Springer, 2010, 1 vol. (xii-171 p.), Universitext, 978-0-387-79065-7 |
Inhaltsangabe:
- Contient des exercices
- Geometric Background
- Affine Euclidean Space ARn
- Isometries of ARn
- 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