反射群的对数形式和反不变形式
Logarithmic forms and anti-invariant forms of reflection groups
摘要：
设W是由酉反射生成的有限群，A是反射超平面的集合.我们将用反不变微分形式给出极点沿A的对数微分形式的一个特征。若W是定义在实数上的Coxeter群，则该刻画提供了一种新的方法，从基本不变式中寻找对数微分形式模的基.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
