This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings, published by Springer-Verlag in 1998, by the second-named author, which gave an introduction to buildings from the classical (simplicial) point of view. But it also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as metric spaces. Beginners can still use parts of the newbook as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. There are serveral paths through the book, so that readers may choose to concentrate on one particular approach. The pace is gentle in the elementary parts of the book, and the style is friendly throughout. All concepts are well motivated. Contains all of the material from the previous book, Buildings, which has a short, friendly, elementary introduction to the theory of buildings Includes advanced content notated with an asterik which is appropriate for more advanced students or for self-study Introduces many new exercises and illustrations, as well as hints and solutions - including a separate, extensive solutions manual INDICE: Preface.- Introduction.- Finite Reflection Groups.- Coxeter Groups.- Coxeter Complexes.- Buildings as Chamber Complexes.- Buildings as W-Metric Spaces.- Buildings and Groups.- Root Groups and the Moufang Property.- MoufangTwin Buildings and RGD-Systems.- The Classification of Spherical Buildings.- Euclidean and Hyperbolic Reflection Groups.- Euclidean Buildings.- Buildings as Metric Spaces.- Applications to the Cohomology of Groups.- Other Applications.- Cell Complexes.- Root Systems.- Algebraic Groups.
- ISBN: 978-0-387-78834-0
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 795
- Fecha Publicación: 01/08/2008
- Nº Volúmenes: 1
- Idioma: Inglés
- Inicio /
- MATEMÁTICAS /
- ÁLGEBRA