论文标题
古典Weyl群的整数表示
Integer Representations of Classical Weyl Groups
论文作者
论文摘要
在本文中,我们在$ d $的Weyl组上定义了一个混合基数系统,该组均匀签名。在构建了与该组相关联的子范围函数之后,我们介绍了正整数和Weyl类的元素之间的一对一对应关系。因此,现在所有经典的Weyl组的整数表示。
In this paper, we define a mixed-base number system over a Weyl group of type $D$, the group even-signed permutations. We introduce one-to-one correspondence between positive integers and elements of Weyl groups of type $D$ after constructed the subexceedant function associating to the group. Thus, the integer representations of all classical Weyl groups are now completed.