Logarithmic forms and anti-invariant forms of reflection groups

Details Logarithmic forms and anti-invariant forms of reflection groups Logarithmic forms and anti-invariant forms of reflection groups

2000-11-30

arxiv.org/abs/math/0011255v1

Advanced Studies in Pure Math., 27, Arrangements, Tokyo 1998, (ed. M. Falk, H. Terao) 2000, Kinokuniya and North-Holland, Toky

Mathematics

Representation Theory

Scientific paper

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

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