Buildings : theory and applications
著者
書誌事項
Buildings : theory and applications
（Graduate texts in mathematics, 248）
Springer, c2008
- : softcover
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注記
"Based in part on Buildings, Kenneth S. Brown, 1989, 1998"--T.p. verso
Includes bibliographical references (p. [719]-735) and indexes
内容説明・目次
内容説明
This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.
This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
目次
Preface.- Introduction.- 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.- Cell Complexes.- Root Systems.- Algebraic Groups.
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