Lifting involutions in a Weyl group to the normalizer of the torus
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- by Moshe Adrian PDF
- Proc. Amer. Math. Soc. 150 (2022), 4989-4994 Request permission
Abstract:
Let $N$ be the normalizer of a maximal torus $T$ in a split reductive group over $\mathbb {F}_q$ 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 $n$.References
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Additional Information
- Moshe Adrian
- Affiliation: Department of Mathematics, Queens College, CUNY, Queens, New York 11367-1597
- MR Author ID: 846441
- Email: moshe.adrian@qc.cuny.edu
- Received by editor(s): March 25, 2021
- Received by editor(s) in revised form: January 25, 2022
- Published electronically: May 13, 2022
- Communicated by: Benjamin Brubaker
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 4989-4994
- MSC (2020): Primary 22E20
- DOI: https://doi.org/10.1090/proc/16012