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Book Review
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Book Information
Author(s):
Richard M. Weiss
Title:
The structure of spherical buildings
Additional book information:
Princeton University Press,
Princeton, NJ,
2003,
xiv+135,
$45.00,
ISBN 0-691-11733-0
References:
-
- [1]
- K. S. Brown, Buildings, Springer-Verlag, New York, 1989. MR 969123 (90e:20001)
- [2]
- P. Garrett, Buildings and classical groups, Chapman & Hall, London, 1977. MR 1449872 (98k:20081)
- [3]
- M. Ronan, Lectures on buildings, Perspectives in Mathematics, vol. 7, Academic Press Inc., Boston, MA, 1989. MR 1005533 (90j:20001)
- [4]
- R. Scharlau, Buildings, Handbook of Incidence Geometry (F. Buekenhout, ed.), North-Holland, Amsterdam, 1995, pp. 477-645. MR 1360726 (97h:51018)
- [5]
- J. Tits, Structures et groupes de Weyl, Séminaire Bourbaki: Volume 1964/1965, New York-Amsterdam, 1966. Exp. no. 288. MR 1608796
- [6]
- J. Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, vol. 386, Springer-Verlag, Berlin, 1974. MR 0470099 (57:9866)
- [7]
- J. Tits, A local approach to buildings, The Geometric Vein (C. Davis, B. Grünbaum, and F. A. Sherk, eds.), Springer-Verlag, New York, 1981, pp. 519-547. MR 661801 (83k:51014)
- [8]
- J. Tits, Twin buildings and groups of Kac-Moody type, Groups, Combinatorics & Geometry (M. Liebeck and J. Saxl, eds.), London Mathematical Society Lecture Note Series, vol. 165, Cambridge University Press, Cambridge, 1992, pp. 249-286. MR 1200265 (94d:20030)
- [9]
- J. Tits and R. M. Weiss, Moufang polygons, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002. MR 1938841 (2003m:51008)
Additional Information:
Reviewer(s):
Kenneth
S.
Brown
Affiliation:
Cornell University
Email:
kbrown@math.cornell.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
42
(2005),
395-400.
MSC
(2000):
Primary 51E24;
Secondary 20E42, 20F55
PII:
S 0273-0979(05)01057-8
Posted:
March 30, 2005
Dedicated:
The reviewer is grateful to Bill Casselman for
drawing Figure 1. It first appeared in the Notices Amer. Math. Soc. 49 (2002), 1245.
The introduction to buildings in this review is
adapted from the introductory chapter of the forthcoming
second edition of [1], by permission of Springer.
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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