Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution
Representation Theory
2018-01-31 v3
Abstract
We study the effect of Alvis-Curtis duality on the unipotent representations of in non-defining characteristic . We show that the permutation induced on the simple modules can be expressed in terms of a generalization of the Mullineux involution on the set of all partitions, which involves both and the order of modulo .
Cite
@article{arxiv.1706.04743,
title = {Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution},
author = {Olivier Dudas and Nicolas Jacon},
journal= {arXiv preprint arXiv:1706.04743},
year = {2018}
}