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Book Review
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Book Information
Author(s):
Jacques Tits
Title:
Buildings of spherical type and finite $BN$-pairs
Additional book information:
Lecture Notes in Mathematics, no. 386, Springer-Verlag, Berlin, Heidelberg, New York, 1974, 299+x pp., $9.90
References:
- 1.
- P. R. Halmos, Letter to the editor, Notices Amer. Math. Soc. 18 (1971), 69.
- 2.
- R. P. Boas, Calculus as an experimental science, Amer. Math. Monthly 78 (1971), 664-667. MR 1536375
- 3.
- Quoted by E. Kasner and J. R. Newman, Mathematics and the imagination, Simon and Schuster, New York, 1940, pp. 103-104.
- 4.
- I shall be glad to supply some examples on request.
- 5.
- G. Pólya, How to solve it, Princeton Univ. Press, Princeton, N.J., 1945, p. 159; 2nd ed., 1957, pp. 172-173. MR 2183670
- 6.
- B. Riemann, Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen complexen Grösse, Inauguraldissertation, Göttingen, 1851; Gesammelte Mathematische, Werke, 2nd ed., 1892, p. 4.
- 1.
- A. Borel and J. Tits, Groupes réductifs, Inst. Hautes Études Sci. Publ. Math. No. 27 (1965), 55-150. MR 34 #7527. MR 207712
- 2.
- N. Bourbaki, Éléments de mathématique. Vol. 34. Groupes et algèbres de Lie. Chaps. 4, 5, 6, Actualités Sci. Indust., no. 1337, Hermann, Paris, 1968. MR 39 #1590. MR 240238
- 3.
- F. Bruhat and J. Tits, Groupes réductifs sur un corps local. I. Données radicielles valuées, Inst. Hautes Études Sci. Publ. Math. No. 41 (1972), 5-251. MR 327923
- 4.
- E. Cartan, Sur la structure des groupes de transformations finis et continus, Thèse, Paris, Nony, 1894; 2nd ed., Vuibert, 1933.
- 5.
- C. Chevalley, Sur certains groupes simples, Tôhoku Math. J. (2) 7 (1955), 14-66. MR 17, 457. MR 73602
- 6.
- C. Chevalley, Séminaire C. Chevalley 1956-1958, Classification des groupes de Lie algébriques, 2 vols., Secrétariat mathématique, Paris, 1958. MR 21 #5696.
- 7.
- S. Helgason, Differential geometry and symmetric spaces, Pure and Appl. Math., vol. 12, Academic Press, New York, 1962. MR 26 #2986. MR 145455
- 8.
- G. Warner, Harmonic analysis on semi-simple Lie groups. I, II, Springer-Verlag, New York, 1972. MR 498999
- 9.
- H. Weyl, Theorie der Darstellung kontinuierlicher half-einfacher Gruppen durch lineare Transformationen. I, II, III und Nachtrag, Math. Z. 23 (1925), 271-309; 24 (1926), 328-376, 377-395, 789-791. MR 1544744
Additional Information:
Reviewer(s):
Charles W.
Curtis
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
652-657.
DOI:
10.1090/S0002-9904-1975-13808-0
PII:
S 0002-9904(1975)13808-0
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