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Book Review

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Book Information:

Author: K. S. Brown
Title: Buildings
Additional book information: Springer-Verlag, New York, Berlin, Heidelberg, 1989, viii + 215 pp., $39.00. ISBN 0-387-96876-8.

Author: M. A. Ronan
Title: Lectures on buildings
Additional book information: Perspectives in Mathematics, No. 7, Academic Press, Orlando, 1989, xii + 216 pp., $27.95. ISBN 0-12-594750-X.

References [Enhancements On Off] (What's this?)

  • 1. A. Borel and J.-P. Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1974), 244-297. MR 387495
  • 2. A. Borel and J.-P. Serre, Cohomologie d'immeubles et de groupes S-arithmétiques, Topology 15 (1976), 211-232. MR 447474
  • 3. N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4-6, Hermann, Paris, 1968; Masson, Paris, 1981.
  • 4. F. Bruhat and J. Tits, Groupes réductifs sur un corps local. I, Inst. Hautes Études Sci. Publ. Math. No. 41 (1972), 5-251; II. ibid. No. 60 (1984), 197-376; III, J. Fac. Sci. Univ. Tokyo, IA, Math. 34 (1987), 671-698. MR 927605
  • 5. C. W. Curtis, Review of Buildings of spherical type and finite BN-pairs, Bull. Amer. Math. Soc. 81 (1975), 652-657.
  • 6. N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. No. 25 (1965), 5-48. MR 185016
  • 7. S. A. Mitchell, Quilien's theorem on buildings and the loops on a symmetric space, Enseign. Math. 34 (1988), 123-166. MR 960196
  • 8. M. A. Ronan, Buildings: main ideas and applications, Bull. London Math. Soc. (to appear).
  • 9. M. A. Ronan and J. Tits, Building buildings, Math. Ann. 278 (1987), 291-306. MR 909229
  • 10. J. Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math., vol. 386, Springer-Verlag, Berlin, and New York, 1974. MR 470099
  • 11. J. Tits, On buildings and their applications, Proc. Internat. Congress of Mathematicians (Vancouver 1974), pp. 209-220. MR 439945
  • 12. J. Tits, A local approach to buildings, The Geometric Vein (Coxeter Festschrift), pp. 317-322, Springer-Verlag, New York, 1981. MR 661801
  • 13. J. Tits, Immeubles de type affine, Buildings and the Geometry of Diagrams (Como 1984), Lecture Notes in Math., vol. 1181, pp. 159-190, Springer-Verlag, Berlin and New York, 1986. MR 843391

Review Information:

Reviewer: James E. Humphreys
Journal: Bull. Amer. Math. Soc. 21 (1989), 303-307
DOI: https://doi.org/10.1090/S0273-0979-1989-15836-9
American Mathematical Society