论文标题
在类型$ f_4 $的Weyl组字符的标签上
On the labelling of characters of Weyl groups of type $F_4$
论文作者
论文摘要
在有关谎言类型有限群体的文献中，关于〜$ f_4 $的Weyl offer of type of tyble of tyble的标签的两种不同的约定。我们指出了有关这两个惯例的一些问题及其对表格或弹簧信函的表面的影响。使用与计算机代数系统{\ sf chevie}相关的实验，我们在Spaltenstein的表中发现了一个错误，即类型为〜$ e_7 $的广义Springer通信。
In the literature on finite groups of Lie type, there exist two different conventions about the labelling of the irreducible characters of Weyl groups of type~$F_4$. We point out some issues concerning these two conventions and their effect on tables about unipotent characters or the Springer correspondence. Using experiments related to these issues with the computer algebra system {\sf CHEVIE}, we spotted an error in Spaltenstein's tables for the generalised Springer correspondence in type~$E_7$.
