Buildings Theory and Applications /

• Main Authors: Abramenko, Peter (Author), Brown, Kenneth S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Series: Graduate Texts in Mathematics, 248
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Group Theory and Generalizations.; Algebraic Geometry.; Topological Groups, Lie Groups.

This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings f...

Table of Contents:

• 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 .
• Moufang Twin 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.