Certain subgroups of Weyl groups are split
classification
🧮 math.RT
math.GR
keywords
subgroupweylabeliancentralizercertaincomplexelementaryevery
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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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