论文标题
Hurwitz对复杂反射组反射因素的行动$ G_6 $
Hurwitz Actions on Reflection Factorizations in Complex Reflection Group $G_6$
论文作者
论文摘要
我们表明，在复杂的反射组$ G_6 $中，具有相同长度和多种共轭类的Coxeter元素的反射因素化位于相同的Hurwitz轨道上。这证实了刘易斯和雷纳的猜想的一种情况。
We show that in the complex reflection group $G_6$, reflection factorizations of a Coxeter element that have the same length and multiset of conjugacy classes are in the same Hurwitz orbit. This confirms one case of a conjecture of Lewis and Reiner.
