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

Published 14 Jul 2021 in math.RT | (2107.06794v1)

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

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