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Poincare Duality and the Ring of Coinvariants

Published online by Cambridge University Press:  20 November 2018

Richard Kane
Richard Kane*
Affiliation:
University of Western Ontario London, Ontario N6A 5B7
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Abstract

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It is shown that, in characteristic zero, a finite subgroup of a general linear group is generated by pseudo-reflections if and only if its ring of coinvariants satisfies Poincaré duality.

Keywords

51F1557P1057T15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 1 , 01 March 1994 , pp. 82 - 88
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Stanley, R., Invariants of Finite Groups and their Application to Combinatorics, Bull. Amer. Math. Soc. 1(1979), 475–511.Google Scholar
2. Steinberg, R., Differential Equations Invariant under Finite Reflection Groups, Trans. Amer. Math. Soc. 112(1964), 392–400.Google Scholar