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The Structure of Spherical Buildings

Richard M. Weiss
Publisher: 
Princeton University Press
Publication Date: 
2004
Number of Pages: 
135
Format: 
Hardcover
Price: 
45.00
ISBN: 
0-691-11733-0
Category: 
Monograph
[Reviewed by
Fernando Q. Gouvêa
, on
03/1/2004
]

I would like to go on record that I am delighted at the very possibility of a book title such as The Structure of Spherical Buildings. Yes, I know they aren't real buildings (they do have apartments in them, however), but isn't the mental image one worth treasuring? Kudos to whoever came up with that title. I hope they did it on purpose.

This is a serious book on a serious subject. It definitely deserves the attention of anyone who is interested in the theory of buildings.

Preface ix
Chapter 1. Chamber Systems 1
Chapter 2. Coxeter Groups 9
Chapter 3. Roots 17
Chapter 4. Reduced Words 27
Chapter 5. Opposites 33
Chapter 6. 2-Interiors 41
Chapter 7. Buildings 47
Chapter 8. Apartments 61
Chapter 9. Spherical Buildings 73
Chapter 10. Extensions of Isometries 81
Chapter 11. The Moufang Property 91
Chapter 12. Root Group Labelings 117
References 131
Index 133

Dummy View - NOT TO BE DELETED