Finite complex reflection groups
Cohen, Arjeh M.
Annales scientifiques de l'École Normale Supérieure, Tome 9 (1976), p. 379-436 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{ASENS_1976_4_9_3_379_0,
     author = {Cohen, Arjeh M.},
     title = {Finite complex reflection groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {9},
     year = {1976},
     pages = {379-436},
     doi = {10.24033/asens.1313},
     mrnumber = {54 \#10437},
     zbl = {0359.20029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1976_4_9_3_379_0}
}

Cohen, Arjeh M. Finite complex reflection groups. Annales scientifiques de l'École Normale Supérieure, Tome 9 (1976) pp. 379-436. doi : 10.24033/asens.1313. http://gdmltest.u-ga.fr/item/ASENS_1976_4_9_3_379_0/

[1] M. Benard, Schur Indices and Splitting Fields of the Unitary Reflection Groups, (J. algebra, Vol. 38, 1976, pp. 318-342). | MR 53 #5727 | Zbl 0327.20004

[2] H. F. Blichfeldt, The Finite Discontinuous Primitive Groups of Collineations in Four Variables (Math. Ann., Vol. 60, 1905, pp. 204-231). | JFM 36.0214.01

[3] N. Bourbaki, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. | Zbl 0186.33001

[4] C. Chevalley, Invariants of Finite Groups Generated by Reflections (Amer. J. Math., Vol. 77, 1955, pp. 778-782). | MR 17,345d | Zbl 0065.26103

[5] H. S. M. Coxeter, Groups Generated by Unitary Reflections of Period Two (Canad J. Math., Vol. 9, 1957, pp. 243-272). | MR 19,248d | Zbl 0077.25101

[6] H. S. M. Coxeter, Finite Groups Generated by Unitary Reflections (Abh. a. d. Math. Sem. d. Univ., Hamburg, Vol. 31, 1967, pp. 125-135). | MR 37 #6358 | Zbl 0189.32302

[7] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras (Intersc. Publ., New York, 1962. | MR 26 #2519 | Zbl 0131.25601

[8] J. Dieudonné, La géométrie des groupes classiques, Springer-Verlag, Berlin, 1955, 2nd ed. | Zbl 0067.26104

[9] L. Dornhoff, Group Representation Theory, part A, Marcel Dekker, New York, 1972. | Zbl 0227.20002

[10] P. Du Val, Homographies, Quaternions and Rotations, Clarendon Press, Oxford, 1964. | MR 29 #6361 | Zbl 0128.15403

[11] W. Feit, Characters of Finite Groups, Benjamin Publ., New York, 1967. | MR 36 #2715 | Zbl 0166.29002

[12] F. G. Frobenius, Gesammelte Abhandelungen, Band III, Springer-Verlag, Berlin, 1968. | Zbl 0169.28901

[13] F. Klein, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, Teubner, Leipzig, 1884. | JFM 16.0061.01 | Zbl 0803.01037

[14] M. Kneser, Über die Ausnahme-Isomorphismen zwischen endlichen klassischen Gruppen (Abh. a. d. Math. Sem. d. Univ., Hamburg, Vol. 31, 1967, pp. 136-140). | MR 38 #5938 | Zbl 0246.20039

[15] J.-P. Serre, Représentations linéaires des groupes finis, Hermann, Paris, 1967. | MR 38 #1190 | Zbl 0189.02603

[16] G. C. Shephard, Unitary Groups Generated by Reflections (Canad. J. Math., Vol. 5, 1953, pp. 364-383). | MR 14,1060h | Zbl 0052.16403

[17] G. C. Shephard and J. A. Todd, Finite Unitary Reflection Groups (Canad. J. Math., Vol. 6, 1954, pp. 274-304). | MR 15,600b | Zbl 0055.14305

[18] T. A. Springer, Regular Elements of Finite Reflection Groups (Inv. Math., Vol. 25, 1974, pp. 159-198). | MR 50 #7371 | Zbl 0287.20043

[19] R. Steinberg, Differential Equations Invariant under Finite Reflection Groups (Trans. Amer. Math. Soc., Vol. 112, 1964, pp. 392-300). | MR 29 #4807 | Zbl 0196.39202

[20] J. A. Todd, The Invariants of a Finite Collineation Group in Five Dimensions (Proc. Cambridge Phil. Soc., Vol. 46, 1950, pp. 73-90). | MR 11,578a | Zbl 0035.09803