Tweet | ## The Structure of Spherical Buildings |

This book provides a clear and authoritative introduction to the theory of buildings, a topic of central importance to mathematicians interested in the geometric aspects of group theory. Its detailed presentation makes it suitable for graduate students as well as specialists. Richard Weiss begins with an introduction to Coxeter groups and goes on to present basic properties of arbitrary buildings before specializing to the spherical case. Buildings are described throughout in the language of graph theory. "Richard M. Weiss's book is an extremely valuable addition to the literature."
"This is the best currently available introduction to the theory of buildings. And it brings the reader to a very important theorem in the theory of spherical buildings. Moreover, it is very carefully written: obviously the author spent quite some time arranging the different results in the right order, which isn't a straightforward task. As for explaining the really hard part of the classification of spherical buildings, this book is a perfect complement to the existing literature." "This book makes an important contribution to the theory of buildings, developing some material in ways that were unavailable until recently. Weiss is an expert in the field who has produced a book that will be useful to anyone learning the subject." Preface ix
- Descent in Buildings (AM-190), Volume I. [Hardcover and Paperback]
- Quadrangular Algebras. (MN-46). [Paperback]
- The Structure of Affine Buildings. (AM-168). [Paperback]
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