The character tables of centralizers in Weyl Groups of $E_6$, $E_7$, $F_4$, $G_2$

Abstract

To classify the finite dimensional pointed Hopf algebras with Weyl group $G$ of $E_6$, $E_7$, $F_4$, $G_2$, we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software GAP.