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arXiv · 1006.0269

Certain subgroups of Weyl groups are split

Daniel Goldstein·Robert Guralnick
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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.

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Daniel Goldstein, Robert Guralnick. 2010-06-02. Certain subgroups of Weyl groups are split. https://arxiv.org/abs/1006.0269

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