Finite complex reflection groups
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 9 (1976) no. 3, pp. 379-436.
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     author = {Cohen, Arjeh M.},
     title = {Finite complex reflection groups},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {379--436},
     publisher = {Elsevier},
     volume = {Ser. 4, 9},
     number = {3},
     year = {1976},
     doi = {10.24033/asens.1313},
     mrnumber = {54 #10437},
     zbl = {0359.20029},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1313/}
}
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Cohen, Arjeh M. Finite complex reflection groups. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 9 (1976) no. 3, pp. 379-436. doi : 10.24033/asens.1313. http://archive.numdam.org/articles/10.24033/asens.1313/

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

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

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

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

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

[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 | Zbl

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

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

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

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

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

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

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

[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 | Zbl

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

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

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

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

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

[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 | Zbl

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