论文标题
在Calogero-Moser蜂窝状特征上，用于不良复杂反射组
On Calogero-Moser cellular characters for imprimitive complex reflection groups
论文作者
论文摘要
我们研究Calogero-Moser蜂窝字符和由Fock type $ a _ {\ infty} $的向量定义的字符之间的关系。使用这种解释，我们表明lusztig $ b $的Weyl组的可构造字符是Calogero-Moser蜂窝状字符的总和。我们还为给定的Calogero-Moser家族的Complex Reflection Group $ G（L，1，N）$的Calogero-Moser家族的最小$ b $ invariant的特征进行明确的结构。
We study the relationship between Calogero-Moser cellular characters and characters defined from vectors of a Fock space of type $A_{\infty}$. Using this interpretation, we show that Lusztig's constructible characters of the Weyl group of type $B$ are sums of Calogero-Moser cellular characters. We also give an explicit construction of the character of minimal $b$-invariant of a given Calogero-Moser family of the complex reflection group $G(l,1,n)$.
