Discrete complex reflection groups

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

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.

References

[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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