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...
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| Principais autores: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2010. |
| coleção: | Universitext
|
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 100 | 1 | |a Borovik, Alexandre V., |d 1956-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Mirrors and Reflections : |b The Geometry of Finite Reflection Groups |c by Alexandre V. Borovik, Anna Borovik. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliographie. Index | ||
| 505 | 2 | |a Contient des exercices | |
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 this text is its emphasis on the intuitive geometric aspects of the theory of reflection groups, making the subject more accessible to the novice. Primarily self-contained, necessary geometric concepts are introduced and explained. Principally designed for coursework, this book is saturated with exercises and examples of varying degrees of difficulty. An appendix offers hints for solving the most difficult problems. Wherever possible, concepts are presented with pictures and diagrams intentionally drawn for easy reproduction. Finite reflection groups is a topic of great interest to many pure and applied mathematicians. Often considered a cornerstone of modern algebra and geometry, an understanding of finite reflection groups is of great value to students of pure or applied mathematics. Requiring only a modest knowledge of linear algebra and group theory, this book is intended for teachers and students of mathematics at the advanced undergraduate and graduate levels | ||
| 650 | |a Groupes de Coxeter | ||
| 650 | |a Groupes de réflexions (mathématiques) | ||
| 700 | 1 | |a Borovik, Anna, |d 19..- |4 aut | |
| 776 | 0 | |0 139272461 |t Mirrors and reflections |o the geometry of finite reflection groups |f Alexandre V. Borovik, Anna Borovik |c New York |n Springer |d 2010 |p 1 vol. (xii-171 p.) |s Universitext |z 978-0-387-79065-7 | |
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