Discrete complex reflection groups

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia

Last update: 12 May 2014

Notes and References

This is an excerpt of the lecture notes Discrete complex reflection groups by V.L. Popov. Lectures delivered at the Mathematical Institute, Rijksuniversiteit Utrecht, October 1980.


[Bou1968] N. Bourbaki, Groupes et Algébres de Lie, Chapitres 4, 5 et 6, Eléments de Mathématique, 34, Hermann, Paris, (1968). MR 39:1590

[STo1954] G. C. Shephard and J.A. Todd, Finite unitary reflection groups, Canadian Journal of Math. 6 (1954), 274–304.

[Coh1976] A.M. Cohen, Finite complex reflection groups, Ann. Scient. Ec. Norm. Sup. 4, t.9. (1976), 379-436.

[Cox1974] H.S.M. Coxeter, Regular Complex Polytopes, Cambridge Univ. Press, (1974).

[Bou1972] N. Bourbaki, Groupes et algèbres de Lie, Chapt. I, II, III, Masson, Paris (1972).

[Spr1977] T.A. Springer, Invariant theory, Lecture Notes in Mathematics 585, Springer, Berlin, etc. 1977.

[Vin1971-2] E.B. Vinberg, Rings of definition of dense subgroups of semisimple linear groups, Izv. Akad. Nauk SSSR. Ser. Math. Tom 35 (1971) p. 45-55.

[CRe1961] C.W. Curtis and I. Reiner, Representation Theorey of Finite Groups and Associative Algebras, Wiley-Interscience, New York, 1961.

[BSh1963] Z. Borevich and I. Shafarevich, Number theory, Moscow, 1963.

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