Bulletin of the American Mathematical Society

MathSciNet review: 1566780
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Book Information:

Author: 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.

1.

P. R. Halmos, Letter to the editor, Notices Amer. Math. Soc. 18 (1971), 69.

R. P. Boas Jr., Mathematical Education: Calculus as an Experimental Science, Amer. Math. Monthly 78 (1971), no. 6, 664–667. MR 1536375, DOI 10.2307/2316582

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.

G. Polya, How to solve it, Princeton Science Library, Princeton University Press, Princeton, NJ, 2004. A new aspect of mathematical method; Expanded version of the 1988 edition, with a new foreword by John H. Conway. 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.

Armand Borel and Jacques Tits, Groupes réductifs, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 55–150 (French). MR 207712

N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238

F. Bruhat and J. Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. 41 (1972), 5–251 (French). MR 327923

4.

E. Cartan, Sur la structure des groupes de transformations finis et continus, Thèse, Paris, Nony, 1894; 2nd ed., Vuibert, 1933.

C. Chevalley, Sur certains groupes simples, Tohoku Math. J. (2) 7 (1955), 14–66 (French). MR 73602, DOI 10.2748/tmj/1178245104

6.

C. Chevalley, Séminaire C. Chevalley 1956-1958, Classification des groupes de Lie algébriques, 2 vols., Secrétariat mathématique, Paris, 1958. MR 21 #5696.

Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455

Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Die Grundlehren der mathematischen Wissenschaften, Band 188, Springer-Verlag, New York-Heidelberg, 1972. MR 0498999

H. Weyl, Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. I, Math. Z. 23 (1925), no. 1, 271–309 (German). MR 1544744, DOI 10.1007/BF01506234

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