Lifting involutions in a Weyl group to the torus normalizer
Name
S1088-4165-2018-00513-4.pdf
Description
Published version
Size
284.32 KB
Format
Adobe PDF
Checksum (MD5)
e019728c5da5c058bc0ea874b35ac7be
Author(s)
Lusztig, George
Date Issued
April 2018
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. et al. "Lifting involutions in a Weyl group to the torus normalizer." Representation Theory 22 (April 2018): 27-44 © 2018 American Mathematical Society
Version
Final published version
Abstract
Let N be the normalizer of a maximal torus T in a split reductive group over Fq, and let w be an involution in theWeyl group N/T. We explicitly construct a lifting n of w in N such that the image of n under the Frobenius map is equal to the inverse of n.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/ert/513