arXiv Analytics

Sign in

arXiv:2107.06794 [math.RT]AbstractReferencesReviewsResources

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

Moshe Adrian

Published 2021-07-14Version 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 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.

Comments: 4 pages. arXiv admin note: text overlap with arXiv:1912.07665
Categories: math.RT
Related articles: Most relevant | Search more
arXiv:1709.08589 [math.RT] (Published 2017-09-25)
Lifting involutions in a Weyl group to the torus normalizer
arXiv:1408.5742 [math.RT] (Published 2014-08-25)
Morita's Duality for Split Reductive Groups
arXiv:2002.05468 [math.RT] (Published 2020-02-13)
Braid groups of normalizers of reflection subgroups

Links

Toolbox