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Steinberg, Robert

Finite reflection groups. (English) Zbl 0092.13904

Trans. Am. Math. Soc. 91, 493-504 (1959).
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Cited in 42 Documents

Keywords:

Analytic geometry, projective geometry
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\textit{R. Steinberg}, Trans. Am. Math. Soc. 91, 493--504 (1959; Zbl 0092.13904)
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References:

[1] E. Cartan, Thèse, Paris, Nony, 1894.
[2] Élie Cartan, La géométrie des groupes simples, Ann. Mat. Pura Appl. 4 (1927), no. 1, 209 – 256 (French). · JFM 53.0392.03
[3] E. Cartan, Complément au Mémoire ”Sur la Géométrie des groupes simples”, Ann. Mat. Pura Appl. 5 (1928), no. 1, 253 – 260 (French). · JFM 54.0445.06
[4] H. S. M. Coxeter, Discrete groups generated by reflections, Ann. of Math. (2) 35 (1934), no. 3, 588 – 621. · Zbl 0010.01101
[5] -, Lösung der Aufgabe \( 245\), Jber. Deutsch. Math. Verein. vol. 49 (1939) pp. 4-6. · JFM 65.0699.03
[6] -, Regular polytopes, New York, 1949.
[7] H. S. M. Coxeter, Extreme forms, Canadian J. Math. 3 (1951), 391 – 441. · Zbl 0044.04201
[8] H. S. M. Coxeter, The product of the generators of a finite group generated by reflections, Duke Math. J. 18 (1951), 765 – 782. · Zbl 0044.25603
[9] G. Frobenius, Über Matrizen aus positiven Elementen, Preuss. Akad. Wiss. Sitzungsber. (1908) pp. 471-476. · JFM 39.0213.03
[10] D. König, Theorie der endlichen und unendlichen Graphen, New York, 1950. · Zbl 0040.10303
[11] Séminaire “Sophus Lie,” Paris, 1954-1955.
[12] G. C. Shephard, Some problems on finite reflection groups, Enseignement Math. (2) 2 (1956), 42 – 48. · Zbl 0071.36405
[13] H. Weyl, Über die Darstellungen halbeinfacher Gruppen durch lineare Transformationen, Math. Z. vol. 23 (1925) pp. 271-309, vol. 24 (1926) pp. 328-395 · JFM 51.0319.01
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