论文标题
关于复杂反射组的准斯坦伯格字符
On Quasi Steinberg characters of Complex Reflection Groups
论文作者
论文摘要
让$ g $为有限的群体，$ p $为划分$ g $的订单。如果$χ（g）$对于$ g $中的每$ p $ regribard $ g $ g $ n n n n零，则$ g $ $ g $的不可约性$χ$ $ g $。在本文中，我们对复杂反射组的$ g（r，q，n）$的Quasi $ P $ -Steinberg字符进行了分类。特别是，我们为$ b_n $和类型$ d_n $的Weyl组获得了此分类。
Let $G$ be a finite group and $p$ be a prime number dividing the order of $G$. An irreducible character $χ$ of $G$ is called a quasi $p$-Steinberg character if $χ(g)$ is nonzero for every $p$-regular element $g$ in $G$. In this paper, we classify quasi $p$-Steinberg characters of the complex reflection groups $G(r,q,n)$. In particular, we obtain this classification for Weyl groups of type $B_n$ and type $D_n$.
