Diagram Geometries
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Product details:
- Publisher Clarendon Press
- Date of Publication 22 September 1994
- ISBN 9780198534976
- Binding Hardback
- No. of pages496 pages
- Size 241x162x32 mm
- Weight 933 g
- Language English 0
Categories
Short description:
Written by a respected practitioner in the field, this book is the first to introduce the techniques used in this growing field of interest. Here, basic concepts are explained, the language of diagram geometries is introduced, and a number of characterizations are proved, leading the reader to more advanced concepts and techniques the mathematician can utilise in order to obtain information on a multi-dimensional geometric object from its bi-dimensional properties.
MoreLong description:
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.
Table of Contents:
Prerequisties
Basic Concepts and Examples
More Examples
Diagrams and Orders
Diagram Graphs
Grassmann Geometries
Intersection Properties
Recovering eometries from Diagrams
Morphisms and Quotients
Automorphisms
Parabolic Systems
Amalgams
Universal Covers
Coxeter Diagrams
Cn and F4
L Cn-1 and more diagrams, Bibilography, Index
