论文标题
反思组的分解多项式
Polynomiality of factorizations in reflection groups
论文作者
论文摘要
我们研究了复杂反射组G(R,S,N)作为反射产物的分解元素的数量。我们证明了将G(r,s,n)中的分解数与n个字母的对称组中的分数数进行比较的结果,并且我们使用此比较以及ELSV公式来推导G(r,s,n)中的多项式结构。
We study the number of ways of factoring elements in the complex reflection groups G(r,s,n) as products of reflections. We prove a result that compares factorization numbers in G(r,s,n) to those in the symmetric group on n letters, and we use this comparison, along with the ELSV formula, to deduce a polynomial structure for factorizations in G(r,s,n).