Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-03T02:16:37.631Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
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