Contragredient representations and characterizing the local Langlands correspondence
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Author(s)
Adams, Jeffrey
Vogan, David A
Date Issued
June 2016
Journal
American Journal of Mathematics
Publisher
Johns Hopkins University Press
Citation
Adams, Jeffrey and David A. Vogan. “Contragredient Representations and Characterizing the Local Langlands Correspondence.” American Journal of Mathematics 138, 3 (June 2016): 657–682 © 2016 Johns Hopkins University Press
Version
Final published version
Abstract
We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups. The proof uses a characterization of the local Langlands correspondence over R. We also consider the related notion of Hermitian dual, in the case of GL(n,ℝ).
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/10.1353/AJM.2016.0024
