Research Catalog

The structure of spherical buildings / Richard M. Weiss.

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.

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TextRequest in advance QA179 .W45 2003Off-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