Logarithmic forms and anti-invariant forms of reflection groups (Q2707474)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Logarithmic forms and anti-invariant forms of reflection groups |
scientific article |
Statements
5 July 2001
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logarithmic differential forms
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anti-invariant forms
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reflection groups
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Coxeter groups
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reflecting hyperplanes
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Logarithmic forms and anti-invariant forms of reflection groups (English)
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Let \(W\) be a finite unitary reflection group and write \(A\) for the set of reflecting hyperplanes. A relationship between the logarithmic differential forms with poles along \(A\) and the anti-invariant differential forms is obtained. This also provides, in case \(W\) is a Coxeter group defined over the reals, a new method to find a basis for the module of logarithmic differential forms out of basic invariants.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00034].
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