Logarithmic forms and anti-invariant forms of reflection groups
表示论
2007-05-23 v1 代数几何
组合数学
摘要
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.
引用
@article{arxiv.math/0011255,
title = {Logarithmic forms and anti-invariant forms of reflection groups},
author = {Hiroaki Terao and Anne V. Shepler},
journal= {arXiv preprint arXiv:math/0011255},
year = {2007}
}