arXiv Analytics

Sign in

arXiv:1709.08589 [math.RT]AbstractReferencesReviewsResources

Lifting involutions in a Weyl group to the torus normalizer

G. Lusztig

Published 2017-09-25Version 1

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.

Comments: 19 pages
Categories: math.RT
Related articles: Most relevant | Search more
arXiv:2107.06794 [math.RT] (Published 2021-07-14)
Lifting Involutions in a Weyl Group to the Normalizer of the Torus
arXiv:1408.5742 [math.RT] (Published 2014-08-25)
Morita's Duality for Split Reductive Groups
arXiv:1707.02592 [math.RT] (Published 2017-07-09)
The Submodule Structure of Spherical Principal Series Module of Reductive Groups with Frobenius Maps in Cross Characteristic

Links

Toolbox