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VOL. 27 | 2000 Logarithmic forms and anti-invariant forms of reflection groups
Anne Shepler, Hiroaki Terao

Editor(s) Michael Falk, Hiroaki Terao

## Abstract

Let $W$ be a finite group generated by unitary reflections and $\mathcal{A}$ be the set of reflecting hyperplanes. We will give a characterization of the logarithmic differential forms with poles along $\mathcal{A}$ in terms of anti-invariant differential forms. If $W$ is a Coxeter group defined over $\mathbf{R}$, then the characterization provides a new method to find a basis for the module of logarithmic differential forms out of basic invariants.

## Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 0970.20025
MathSciNet: MR1796905

Digital Object Identifier: 10.2969/aspm/02710273