Lifting involutions in a Weyl group to the torus normalizer
Representation Theory
2017-10-06 v2
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.
Cite
@article{arxiv.1709.08589,
title = {Lifting involutions in a Weyl group to the torus normalizer},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1709.08589},
year = {2017}
}
Comments
20 pages