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arXiv · 2107.06794

Lifting Involutions in a Weyl Group to the Normalizer of the Torus

Moshe Adrian
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Abstract

Let N be the normalizer of a maximal torus T in a split reductive group over F_q, and let w be an involution in the Weyl group N/T. We construct a section of W satisfying the braid relations, such that the image of the lift n of w under the Frobenius map is equal to the inverse of n.

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Moshe Adrian. 2021-07-14. Lifting Involutions in a Weyl Group to the Normalizer of the Torus. https://arxiv.org/abs/2107.06794

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