Diagram Geometry Related to Classical Groups and Buildings /

• Main Authors: Buekenhout, Francis. (Author), Cohen, Arjeh M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 57
• Subjects: Mathematics.; Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-34453-4

This book provides a self-contained introduction to diagram geometry.� Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples.� Polar geometry is motiva...

Table of Contents:

• 1. Geometries
• 2. Diagrams
• 3. Chamber Systems
• 4. Thin Geometries
• 5. Linear Geometries
• 6. Projective and Affine Spaces
• 7. Polar Spaces
• 8. Projective Embeddings of Polar Spaces
• 9. Embedding Polar Spaces in Absolutes
• 10. Classical Polar Spaces
• 11. Buildings
• Bibliography
• Index.