Induce/restrict matrices for exceptional Weyl groups

TL;DR

This paper provides detailed tables showing how irreducible characters of exceptional Weyl groups decompose when induced from specific reflection subgroups, aiding representation theory analysis.

Contribution

It introduces comprehensive tables of multiplicities for irreducible characters induced from reflection subgroups in exceptional Weyl groups, a novel resource for researchers.

Findings

Tables of multiplicities for irreducible characters

Decomposition patterns of induced characters

Enhanced understanding of Weyl group representations

Abstract

This manuscript contains tables giving the multiplicities with which irreducible characters of exceptional Weyl groups appear in characters induced from certain reflection subgroups containing maximal parabolic subgroups.