论文标题

正常反射亚组

Normal Reflection Subgroups

论文作者

Arreche, Carlos E., Williams, Nathan

论文摘要

我们研究了复杂反射组的正常反射亚组。我们的观点导致了Orlik和所罗门定理的改进,即在反射组上的固定空间维度的生成函数是涉及通用指数的线性因子的产物。我们的完善提供了统一的证明和对第二作者的最新定理的概括。

We study normal reflection subgroups of complex reflection groups. Our point of view leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalized exponents. Our refinement gives a uniform proof and generalization of a recent theorem of the second author.

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