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.
`This is a book many people were waiting for. ... It is a very well-written introduction to the abstract theory of diagram geometries ... recommended to students who like to work with diagram geometries.'
Germot Stroth, Mathematical Reviews, Issue 96f.
`a carefully written, detailed yet concise exposition'
Monatshefte fur Mathematik Vol. 124
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
10: Parabolic Systems
12: Universal Covers
13: Coxeter Diagrams
14: Cn and F4
15: L Cn-1 and more diagrams, Bibilography, Index
Series: OXFORD MATHEMATICAL MONOGRAPHS
Number Of Pages: 496
Published: 22nd September 1994
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.2
Weight (kg): 0.92