Certain subgroups of Weyl groups are split

Details Certain subgroups of Weyl groups are split Certain subgroups of Weyl groups are split

2010-06-02

arxiv.org/abs/1006.0269v1

Mathematics

Representation Theory

Scientific paper

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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