# ePub The Structure of Spherical Buildings download

# by Richard M. Weiss

In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986.

In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. The book includes numerous results about automorphisms, completions, and residues of these buildings. It also includes tables correlating the results in the locally finite case with the results of Tits's classification of absolutely simple algebraic groups defined over a local field.

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.

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.

The book concludes with a display of the Tits indices associated with each of these exceptional forms. This is the third and final volume of a trilogy that began with Richard Weiss' The Structure of Spherical Buildings and The Structure of Affine Buildings. Volume: 1. Year: 2015.

Поиск книг BookFi BookSee - Download books for free. The structure of affine buildings. Категория: M Mathematics, MA Algebra, MAa Abstract algebra. 5 Mb. Recipes for Immortality: Healing, Religion, and Community in South India.

Richard Alfred Weiss (September 18, 1963 – June 25, 1997), known as Rich Weiss, was a West German-born, American slalom kayaker who competed from the mid-1980s to the mid-1990s. He won a silver medal in the K1 event at the 1993 ICF Canoe Slalom World Championships in Mezzana. Weiss also competed in two Summer Olympics, earning his best finish of sixth in the K1 event in Atlanta in 1996.

In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986.

The structure of spherical buildings Richard M. Weiss. Download PDF book format. The structure of spherical buildings Richard M. Choose file format of this book to download: pdf chm txt rtf doc. Download this format book. Book's title: The structure of spherical buildings Richard M. International Standard Book Number (ISBN): 0691117330. Library of Congress Call Number: QA76

AM-168) by Richard M. Weiss and Publisher Princeton University Press

AM-168) by Richard M. Weiss and Publisher Princeton University Press. Save up to 80% by choosing the eTextbook option for ISBN: 9781400829057, 1400829054. The print version of this textbook is ISBN: 9780691138817, 0691138818. A companion to Weiss's The Structure of Spherical Buildings, The Structure of Affine Buildings is organized around the classification of spherical buildings and their root data as it is carried out in Tits and Weiss's Moufang Polygons. 9780691136592, 0691136599.

The Structure of Spherical Buildings. Princeton University Press, Princeton (2003) Google Scholar. Annals of Mathematics Studies, vol. 168. Princeton University Press, Princeton (2009) zbMATHGoogle Scholar. Authors and Affiliations.

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.

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