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Viser: Buildings - Theory and Applications
Buildings
Theory and Applications
Peter Abramenko og Kenneth S. Brown
(2008)
Sprog: Engelsk
Springer New York
545,00 kr.
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Detaljer om varen
- 1. Udgave
- Hardback: 794 sider
- Udgiver: Springer New York (August 2008)
- Forfattere: Peter Abramenko og Kenneth S. Brown
- ISBN: 9780387788340
"This book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings from the classical (simplicial) point of view. This new book also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as abstract sets of chambers with a Weyl-group-valued distance function; this point of view has become increasingly important in the theory and applications of buildings. On the other hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher."--BOOK JACKET.
Finite Reflection Groups.- Coxeter Groups.- Coxeter Complexes.- Buildings as Chamber Complexes
..- Buildings as W-Metric Spaces.- Buildings and Groups.- Root Groups and the Moufang Property
..- Moufang Twin Buildings and RGD Systems.- The Classification of Spherical Buildings.- Euclidean and Hyperbolic Reflection Groups.- Euclidean Buildings
..- Buildings as Metric Spaces.- Applications to the Cohomology of Groups.- Other Applications.
..- Buildings as W-Metric Spaces.- Buildings and Groups.- Root Groups and the Moufang Property
..- Moufang Twin Buildings and RGD Systems.- The Classification of Spherical Buildings.- Euclidean and Hyperbolic Reflection Groups.- Euclidean Buildings
..- Buildings as Metric Spaces.- Applications to the Cohomology of Groups.- Other Applications.
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