Lifting involutions in a Weyl group to the torus normalizer

Author:

Lusztig G.

Abstract

Let N N be the normalizer of a maximal torus T T in a split reductive group over F q F_q , and let w w be an involution in the Weyl group N / T N/T . We explicitly construct a lifting n n of w w in N N such that the image of n n under the Frobenius map is equal to the inverse of n n .

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

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