The Structure of Spherical Buildings

Richard M. Weiss

135 pages, parution le 30/03/2004

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Résumé

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.

The Structure of Spherical Buildings includes a reworking of the proof of Jacques Tits's Theorem 4.1.2. upon which Tits's classification of thick irreducible spherical buildings of rank at least three is based. In fact, this is the first book to include a proof of this famous result since its original publication. Theorem 4.1.2 is followed by a systematic study of the structure of spherical buildings and their automorphism groups based on the Moufang property. Moufang buildings of rank two were recently classified by Tits and Weiss. The last chapter provides an overview of the classification of spherical buildings, one that reflects these and other important developments.

L'auteur - Richard M. Weiss

Richard M. Weiss is William Walker Professor at Tufts University. He is the coauthor, with Jacques Tits, of Moufang Polygons.

Sommaire

Chamber Systems
Coxeter Croups
Roots
Reduced Words
Opposites
2-lnteriors
Buildings
Apartments
Spherical Buildings
Extensions of Isometries
The Moufang Property
Root Group Labelings

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Richard M. Weiss
Parution	30/03/2004
Nb. de pages	135
Format	16 x 24
Couverture	Relié
Poids	390g
Intérieur	Noir et Blanc
EAN13	9780691117331
ISBN13	978-0-691-11733-1