Diagram Geometry Related to Classical Groups and Buildings /

• Κύριοι συγγραφείς: Buekenhout, Francis (Συγγραφέας), Cohen, Arjeh M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 57
• Θέματα: Mathematics.; Geometry.

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...

Πίνακας περιεχομένων:

• 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.