论文标题
关于复杂反射组中赫维茨对库克克斯元素反思因素的反思因素化的注释
A note on the Hurwitz action on reflection factorizations of Coxeter elements in complex reflection groups
论文作者
论文摘要
我们表明,Hurwitz的动作是在发育良好的复杂反射组$ g(d,1,n)$($ d $ colored cormored complenations)和$ g($ g(d,d,d,d,d,d,n)$的组中,对Coxeter元素的反思因素进行了“尽可能传递”。
We show that the Hurwitz action is "as transitive as possible" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d, 1, n)$ (the group of $d$-colored permutations) and $G(d, d, n)$.