Mirrors and Reflections
The Geometry of Finite and Affine Reflection Groups
1st Edition
Published in November 2005
Book
Hardback
200 pages
978-0-8176-3052-2 (ISBN)
Description
"Mirrors and Reflections" is a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory of reflection groups. The exposition is directed at advanced undergraduates and first-year graduate students, and features a large number of exercises at various levels of difficulty. TOC:Introduction.- Hyperplane Arrangements.- Mirrors, Reflections, Roots.- Coxeter Complex.- Classification.- Bibliography.- Index.