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

TL;DR

This paper computes and lists character tables of centralizers in the Weyl group of E8, aiding classification of related Hopf algebras using computational methods.

Contribution

It provides the character tables of specific centralizers in the E8 Weyl group, a key step in classifying associated Hopf algebras, using GAP software.

Findings

Character tables for centralizers 65--94 are listed.

Conjugacy class representatives are identified.

Facilitates classification of finite-dimensional pointed Hopf algebras.

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 65--94.