Research Catalog

Title

The structure of spherical buildings / Richard M. Weiss.

Author

Weiss, Richard M. (Richard Mark), 1946-

Publication

Princeton, N.J. : Princeton University Press, [2003], ©2003.

Items in the Library & Off-site

Details

Description

xi, 135 pages; 24 cm

Summary

"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."--BOOK JACKET.

Subject

• Buildings (Group theory)

Bibliography (note)

• Includes bibliographical references (p. [131]) and index.

Contents

Ch. 1. Chamber Systems -- Ch. 2. Coxeter Groups -- Ch. 3. Roots -- Ch. 4. Reduced Words -- Ch. 5. Opposites -- Ch. 6. 2-Interiors -- Ch. 7. Buildings -- Ch. 8. Apartments -- Ch. 9. Spherical Buildings -- Ch. 10. Extensions of Isometries -- Ch. 11. The Moufang Property -- Ch. 12. Root Group Labelings.

ISBN

0691117330 (acid-free paper)

LCCN

2003050674

Owning Institutions

Columbia University Libraries