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Lifting involutions in a Weyl group to the torus normalizer

Published 25 Sep 2017 in math.RT | (1709.08589v2)

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 explicitly a lifting n of w in N such that the image of n under the Frobenius map is equal to the inverse of n.

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