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arXiv:1006.0269 [math.RT]AbstractReferencesReviewsResources

Certain subgroups of Weyl groups are split

Daniel Goldstein, Robert Guralnick

Published 2010-06-02Version 1

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.

Categories: math.RT, math.GR
Subjects: 20C15, 20C40, 20C30, 20B35
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