Mirrors and Reflections The Geometry of Finite Reflection Groups

Mirrors and Reflections The Geometry of Finite Reflection Groups / by Alexandre V. Borovik, Anna Borovik.

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Borovik, Alexandre V. (Author), Borovik, Anna (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Universitext,
Springer eBook Collection.
Subjects:
Geometry.
Algebra.
Group theory.
Topological groups.
Lie groups.
Matrix theory.
Physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

Similar Items