Book Review
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Book Information:
Author:
Richard M. Weiss
Title:
The structure of spherical buildings
Additional book information:
Princeton University Press,
Princeton, NJ,
2003,
xiv+135 pp.,
ISBN 0-691-11733-0,
$45.00$
Kenneth S. Brown, Buildings, Springer-Verlag, New York, 1989. MR 969123, DOI 10.1007/978-1-4612-1019-1
Paul Garrett, Buildings and classical groups, Chapman & Hall, London, 1997. MR 1449872, DOI 10.1007/978-94-011-5340-9
Mark Ronan, Lectures on buildings, Perspectives in Mathematics, vol. 7, Academic Press, Inc., Boston, MA, 1989. MR 1005533
Rudolf Scharlau, Buildings, Handbook of incidence geometry, North-Holland, Amsterdam, 1995, pp. 477–645. MR 1360726, DOI 10.1016/B978-044488355-1/50013-X
Jacques Tits, Structures et groupes de Weyl, Séminaire Bourbaki, Vol. 9, Soc. Math. France, Paris, 1995, pp. Exp. No. 288, 169–183 (French). MR 1608796
Jacques Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol. 386, Springer-Verlag, Berlin-New York, 1974. MR 0470099
J. Tits, A local approach to buildings, The geometric vein, Springer, New York-Berlin, 1981, pp. 519–547. MR 661801
Jacques Tits, Twin buildings and groups of Kac-Moody type, Groups, combinatorics & geometry (Durham, 1990) London Math. Soc. Lecture Note Ser., vol. 165, Cambridge Univ. Press, Cambridge, 1992, pp. 249–286. MR 1200265, DOI 10.1017/CBO9780511629259.023
Jacques Tits and Richard M. Weiss, Moufang polygons, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002. MR 1938841, DOI 10.1007/978-3-662-04689-0
- [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)
Review Information:
Reviewer:
Kenneth S. Brown
Affiliation:
Cornell University
Email:
kbrown@math.cornell.edu
Journal:
Bull. Amer. Math. Soc.
42 (2005), 395-400
Published electronically:
March 30, 2005
Review copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
