Diagram Geometries

Erscheinungsjahr 1994
ISBN: 978-0-19-853497-6
Verlag: OUP Oxford

Buch, Englisch, 496 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 910 g

Diagram geometry provides a range of techniques that enable an interaction between group theory and geometry. These techniques allow the mathematician to get information on a multi-dimensional geometric object from some knowledge of its bi-dimensional properties. This book introduces these techniques and provides a survey of the development of the subject of diagram geometry.

The first three chapters are descriptive; a number of examples are presented, basic concepts are explained, and the reader is introduced to the language of diagram geometries.

The theory is developed in the next three chapters and in chapter 7 a number of characterizations are proved. This is continued in later chapters following a survey of more advanced concepts and techniques.

Autoren/Hrsg.

Pasini, Antonio

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

- 0: Prerequisties

- 1: Basic Concepts and Examples

- 2: More Examples

- 3: Diagrams and Orders

- 4: Diagram Graphs

- 5: Grassmann Geometries

- 6: Intersection Properties

- 7: Recovering eometries from Diagrams

- 8: Morphisms and Quotients

- 9: Automorphisms

- 10: Parabolic Systems

- 11: Amalgams

- 12: Universal Covers

- 13: Coxeter Diagrams

- 14: Cn and F4

- 15: L Cn-1 and more diagrams, Bibilography, Index