The character tables of centralizers in Weyl Group of $E_8$ II

TL;DR

This paper computes and lists character tables of centralizers in the Weyl group of E8, aiding classification of related algebraic structures, using computational methods with GAP.

Contribution

It provides explicit character tables of centralizers in the E8 Weyl group, a key step in classifying finite-dimensional pointed Hopf algebras.

Findings

Character tables of centralizers 29--46 are listed.

Conjugacy class representatives are identified.

Computations are performed using GAP software.

Abstract

To classify the finite dimensional pointed Hopf algebras with Weyl group $G$ of $E_8$, we obtain the representatives of conjugacy classes of $G$ and all character tables of centralizers of these representatives by means of software GAP. In this paper we only list character table 29--46.