Finite complex reflection groups
Annales scientifiques de l'École Normale Supérieure (1976)
- Volume: 9, Issue: 3, page 379-436
- ISSN: 0012-9593
Access Full Article
topHow to cite
topCohen, Arjeh M.. "Finite complex reflection groups." Annales scientifiques de l'École Normale Supérieure 9.3 (1976): 379-436. <http://eudml.org/doc/81982>.
@article{Cohen1976,
author = {Cohen, Arjeh M.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {3},
pages = {379-436},
publisher = {Elsevier},
title = {Finite complex reflection groups},
url = {http://eudml.org/doc/81982},
volume = {9},
year = {1976},
}
TY - JOUR
AU - Cohen, Arjeh M.
TI - Finite complex reflection groups
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1976
PB - Elsevier
VL - 9
IS - 3
SP - 379
EP - 436
LA - eng
UR - http://eudml.org/doc/81982
ER -
References
top- [1] M. BENARD, Schur Indices and Splitting Fields of the Unitary Reflection Groups, (J. algebra, Vol. 38, 1976, pp. 318-342). Zbl0327.20004MR53 #5727
- [2] H. F. BLICHFELDT, The Finite Discontinuous Primitive Groups of Collineations in Four Variables (Math. Ann., Vol. 60, 1905, pp. 204-231). Zbl36.0214.01JFM36.0214.01
- [3] N. BOURBAKI, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. Zbl0186.33001
- [4] C. CHEVALLEY, Invariants of Finite Groups Generated by Reflections (Amer. J. Math., Vol. 77, 1955, pp. 778-782). Zbl0065.26103MR17,345d
- [5] H. S. M. COXETER, Groups Generated by Unitary Reflections of Period Two (Canad J. Math., Vol. 9, 1957, pp. 243-272). Zbl0077.25101MR19,248d
- [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). Zbl0189.32302MR37 #6358
- [7] C. W. CURTIS and I. REINER, Representation Theory of Finite Groups and Associative Algebras (Intersc. Publ., New York, 1962. Zbl0131.25601MR26 #2519
- [8] J. DIEUDONNÉ, La géométrie des groupes classiques, Springer-Verlag, Berlin, 1955, 2nd ed. Zbl0067.26104
- [9] L. DORNHOFF, Group Representation Theory, part A, Marcel Dekker, New York, 1972. Zbl0227.20002
- [10] P. DU VAL, Homographies, Quaternions and Rotations, Clarendon Press, Oxford, 1964. Zbl0128.15403MR29 #6361
- [11] W. FEIT, Characters of Finite Groups, Benjamin Publ., New York, 1967. Zbl0166.29002MR36 #2715
- [12] F. G. FROBENIUS, Gesammelte Abhandelungen, Band III, Springer-Verlag, Berlin, 1968. Zbl0169.28901
- [13] F. KLEIN, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, Teubner, Leipzig, 1884. Zbl0803.01037JFM16.0061.01
- [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). Zbl0246.20039MR38 #5938
- [15] J.-P. SERRE, Représentations linéaires des groupes finis, Hermann, Paris, 1967. Zbl0189.02603MR38 #1190
- [16] G. C. SHEPHARD, Unitary Groups Generated by Reflections (Canad. J. Math., Vol. 5, 1953, pp. 364-383). Zbl0052.16403MR14,1060h
- [17] G. C. SHEPHARD and J. A. TODD, Finite Unitary Reflection Groups (Canad. J. Math., Vol. 6, 1954, pp. 274-304). Zbl0055.14305MR15,600b
- [18] T. A. SPRINGER, Regular Elements of Finite Reflection Groups (Inv. Math., Vol. 25, 1974, pp. 159-198). Zbl0287.20043MR50 #7371
- [19] R. STEINBERG, Differential Equations Invariant under Finite Reflection Groups (Trans. Amer. Math. Soc., Vol. 112, 1964, pp. 392-300). Zbl0196.39202MR29 #4807
- [20] J. A. TODD, The Invariants of a Finite Collineation Group in Five Dimensions (Proc. Cambridge Phil. Soc., Vol. 46, 1950, pp. 73-90). Zbl0035.09803MR11,578a
Citations in EuDML Documents
top- Denis Rotillon, Anneaux d'invariants de groupes finis Intersections complètes
- Kasper Andersen, The normalizer splitting conjecture for p-compact groups
- G. Gonzalez-Sprinberg, J.-L Verdier, Construction géométrique de la correspondance de McKay
- Wim Couwenberg, Gert Heckman, Eduard Looijenga, Geometric structures on the complement of a projective arrangement
- Pierre Cartier, La théorie des blocs et les groupes génériques
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.