Peter Abramenko,
Kenneth S. Brown
Buildings
Theory and Applications
Paperback Engels 2010 9781441927019Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9781441927019
Taal:Engels
Bindwijze:paperback
Aantal pagina's:754
Uitgever:Springer New York
Lezersrecensies
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Inhoudsopgave
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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