Fusion in the character table

THE RATIONAL CHARACTER TABLE OF SPECIAL LINEAR GROUPS

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...

The GAP Character Table Library

The Character Table for E 8

O n January 8, 2007, just before 9 in the morning, a computer finished writing to disk about sixty gigabytes of files containing the Kazhdan-Lusztig polynomials for the split real group G of type E8. Values at 1 of these polynomials are coefficients in characters of irreducible representations of G; so all irreducible characters were written down. The biggest coefficient appearing was 11,808,80...

Ambiguous Class Fusions in the GAP Character Table Library

This is a collection of examples showing how class fusions between character tables can be determined using the GAP system [GAP04]. In each of these examples, the fusion is ambiguous in the sense that the character tables do not determine it up to table automorphisms. Our strategy is to compute first all possibilities with the GAP function PossibleClassFusions, and then to use either other char...