Finite complex reflection groups

Arjeh M. Cohen

Annales scientifiques de l'École Normale Supérieure (1976)

  • Volume: 9, Issue: 3, page 379-436
  • ISSN: 0012-9593

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Cohen, 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

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  2. [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. [3] N. BOURBAKI, Groupes et algèbres de Lie, Chap. IV, V, VI, Hermann, Paris, 1968. Zbl0186.33001
  4. [4] C. CHEVALLEY, Invariants of Finite Groups Generated by Reflections (Amer. J. Math., Vol. 77, 1955, pp. 778-782). Zbl0065.26103MR17,345d
  5. [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. [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. [7] C. W. CURTIS and I. REINER, Representation Theory of Finite Groups and Associative Algebras (Intersc. Publ., New York, 1962. Zbl0131.25601MR26 #2519
  8. [8] J. DIEUDONNÉ, La géométrie des groupes classiques, Springer-Verlag, Berlin, 1955, 2nd ed. Zbl0067.26104
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  13. [13] F. KLEIN, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, Teubner, Leipzig, 1884. Zbl0803.01037JFM16.0061.01
  14. [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. [15] J.-P. SERRE, Représentations linéaires des groupes finis, Hermann, Paris, 1967. Zbl0189.02603MR38 #1190
  16. [16] G. C. SHEPHARD, Unitary Groups Generated by Reflections (Canad. J. Math., Vol. 5, 1953, pp. 364-383). Zbl0052.16403MR14,1060h
  17. [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. [18] T. A. SPRINGER, Regular Elements of Finite Reflection Groups (Inv. Math., Vol. 25, 1974, pp. 159-198). Zbl0287.20043MR50 #7371
  19. [19] R. STEINBERG, Differential Equations Invariant under Finite Reflection Groups (Trans. Amer. Math. Soc., Vol. 112, 1964, pp. 392-300). Zbl0196.39202MR29 #4807
  20. [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

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