Certain subgroups of Weyl groups are split
Representation Theory
2010-06-03 v1 Group Theory
Abstract
Let C be the centralizer in a finite Weyl group of an elementary abelian 2-subgroup. We show that every complex representation of C can be realized over the field of rational numbers. The same holds for a Sylow 2-subgroup of C.
Cite
@article{arxiv.1006.0269,
title = {Certain subgroups of Weyl groups are split},
author = {Daniel Goldstein and Robert Guralnick},
journal= {arXiv preprint arXiv:1006.0269},
year = {2010}
}