Lifting involutions in a Weyl group to the torus normalizer

Author(s)
Lusztig, George
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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.
Date issued
2018-04
URI
https://hdl.handle.net/1721.1/125017
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1088-4165
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