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The Contragredient Isotypic Component of the Regular Representation of Pseudoreflection Groups

Published online by Cambridge University Press:  20 November 2018

F. Destrempes  and
A. Pianzola
F. Destrempes
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1
A. Pianzola
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1
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Abstract

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For the regular representation of a pseudoreflection group G we characterize the occurrences of the contragredient representation as the gradient spaces of a set of Chevalley generators of the invariants of G.

Keywords

17B2020C
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 2 , 01 June 1995 , pp. 182 - 186
Copyright
Copyright © Canadian Mathematical Society 1995

References

[Bbk] Bourbaki, N., Groupes et algèbres de Lie, Chapters 4, 5 et 6, Hermann, Paris, 1968.Google Scholar
[BLJ Beynon, W. M. and Lusztig, G., Some numerical results on the characters of exceptional WeyI groups, Math. Proc. Cambridge Philos. Soc. 84(1978), 417–426.Google Scholar
[Chv] Chevalley, C., Invariants of finite groups generated by reflections, Amer. J. Math. 77(1955), 778–782.Google Scholar
[Sim] Solomon, L., Invariants of euclidean reflection groups, Trans. Amer. Math. Soc. (2) 113(1964), 274–286.Google Scholar